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45016005300 = 22352761351413
BaseRepresentation
bin101001111011001010…
…011011101010110100
311022012020120000012120
4221323022123222310
51214143044132200
632402521115540
73152352505650
oct517312335264
9138166500176
1045016005300
11181003a8072
128883928bb0
134325326236
142270837a60
1512870509a0
hexa7b29bab4

45016005300 has 144 divisors (see below), whose sum is σ = 151293566592. Its totient is φ = 10120665600.

The previous prime is 45016005263. The next prime is 45016005347. The reversal of 45016005300 is 350061054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47607 + ... + 303806.

It is an arithmetic number, because the mean of its divisors is an integer number (1050649768).

Almost surely, 245016005300 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 45016005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75646783296).

45016005300 is an abundant number, since it is smaller than the sum of its proper divisors (106277561292).

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

45016005300 is a wasteful number, since it uses less digits than its factorization.

45016005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351498 (or 351491 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 45016005300 its reverse (350061054), we get a palindrome (45366066354).

The spelling of 45016005300 in words is "forty-five billion, sixteen million, five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 64050 128100 351413 702826 1054239 1405652 1757065 2108478 2459891 3514130 4216956 4919782 5271195 7028260 7379673 8785325 9839564 10542390 12299455 14759346 17570650 21084780 21436193 24598910 26355975 29518692 35141300 36898365 42872386 49197820 52711950 61497275 64308579 73796730 85744772 105423900 107180965 122994550 128617158 147593460 150053351 184491825 214361930 245989100 257234316 300106702 321542895 368983650 428723860 450160053 535904825 600213404 643085790 737967300 750266755 900320106 1071809650 1286171580 1500533510 1607714475 1800640212 2143619300 2250800265 3001067020 3215428950 3751333775 4501600530 6430857900 7502667550 9003201060 11254001325 15005335100 22508002650 45016005300