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545151211442000 = 2453536029853033
BaseRepresentation
bin111101111110011111110100…
…0010011101000111101010000
32122111012221120020121221000222
41323330333220103220331100
51032423224140112121000
65211235001552332212
7222553606136026652
oct17374775023507520
92574187506557028
10545151211442000
1114877a36a883889
1251185b59844068
131a525700571337
1498896608da6d2
154305979e66a85
hex1efcfe84e8f50

545151211442000 has 160 divisors (see below), whose sum is σ = 1343271206702880. Its totient is φ = 213910398873600.

The previous prime is 545151211441961. The next prime is 545151211442011. The reversal of 545151211442000 is 244112151545.

It can be written as a sum of positive squares in 16 ways, for example, as 285268181533456 + 259883029908544 = 16889884^2 + 16120888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638647484 + ... + 639500516.

It is an arithmetic number, because the mean of its divisors is an integer number (8395445041893).

Almost surely, 2545151211442000 is an apocalyptic number.

545151211442000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545151211442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671635603351440).

545151211442000 is an abundant number, since it is smaller than the sum of its proper divisors (798119995260880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545151211442000 is a wasteful number, since it uses less digits than its factorization.

545151211442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859138 (or 859122 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 545151211442000 its reverse (244112151545), we get a palindrome (545395323593545).

The spelling of 545151211442000 in words is "five hundred forty-five trillion, one hundred fifty-one billion, two hundred eleven million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6029 6625 10600 12058 13250 21200 24116 26500 30145 48232 53000 60290 96464 106000 120580 150725 241160 301450 319537 482320 602900 639074 753625 853033 1205800 1278148 1507250 1597685 1706066 2411600 2556296 3014500 3195370 3412132 4265165 5112592 6029000 6390740 6824264 7988425 8530330 12058000 12781480 13648528 15976850 17060660 21325825 25562960 31953700 34121320 39942125 42651650 45210749 63907400 68242640 79884250 85303300 90421498 106629125 127814800 159768500 170606600 180842996 213258250 226053745 319537000 341213200 361685992 426516500 452107490 639074000 723371984 853033000 904214980 1130268725 1706066000 1808429960 2260537450 3616859920 4521074900 5142935957 5651343625 9042149800 10285871914 11302687250 18084299600 20571743828 22605374500 25714679785 41143487656 45210749000 51429359570 82286975312 90421498000 102858719140 128573398925 205717438280 257146797850 272575605721 411434876560 514293595700 545151211442 642866994625 1028587191400 1090302422884 1285733989250 1362878028605 2057174382800 2180604845768 2571467978500 2725756057210 4361209691536 5142935957000 5451512114420 6814390143025 10285871914000 10903024228840 13628780286050 21806048457680 27257560572100 34071950715125 54515121144200 68143901430250 109030242288400 136287802860500 272575605721000 545151211442000