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54353225312120 = 2357799672541053
BaseRepresentation
bin11000101101111000110001…
…01011111110011101111000
321010110010011201120222220102
430112330120223332131320
524111010401134441440
6311333305455414532
714306614410144650
oct1426743053763570
9233403151528812
1054353225312120
1116356089780809
12611a029224448
13244364437bb27
14d5c9d28b3360
15643cbadbbb15
hex316f18afe778

54353225312120 has 128 divisors (see below), whose sum is σ = 141681039667200. Its totient is φ = 18380465865216.

The previous prime is 54353225312101. The next prime is 54353225312137. The reversal of 54353225312120 is 2121352235345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20119514 + ... + 22660566.

It is an arithmetic number, because the mean of its divisors is an integer number (1106883122400).

Almost surely, 254353225312120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54353225312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70840519833600).

54353225312120 is an abundant number, since it is smaller than the sum of its proper divisors (87327814355080).

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

54353225312120 is a wasteful number, since it uses less digits than its factorization.

54353225312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542117 (or 2542113 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 54353225312120 its reverse (2121352235345), we get a palindrome (56474577547465).

The spelling of 54353225312120 in words is "fifty-four trillion, three hundred fifty-three billion, two hundred twenty-five million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 967 1106 1580 1934 2212 2765 3160 3868 4424 4835 5530 6769 7736 9670 11060 13538 19340 22120 27076 33845 38680 54152 67690 76393 135380 152786 270760 305572 381965 534751 611144 763930 1069502 1527860 2139004 2541053 2673755 3055720 4278008 5082106 5347510 10164212 10695020 12705265 17787371 20328424 21390040 25410530 35574742 50821060 71149484 88936855 101642120 142298968 177873710 200743187 355747420 401486374 711494840 802972748 1003715935 1405202309 1605945496 2007431870 2457198251 2810404618 4014863740 4914396502 5620809236 7026011545 8029727480 9828793004 11241618472 12285991255 14052023090 17200387757 19657586008 24571982510 28104046180 34400775514 49143965020 56208092360 68801551028 86001938785 98287930040 137603102056 172003877570 194118661829 344007755140 388237323658 688015510280 776474647316 970593309145 1358830632803 1552949294632 1941186618290 2717661265606 3882373236580 5435322531212 6794153164015 7764746473160 10870645062424 13588306328030 27176612656060 54353225312120