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56201503760 = 2457931328411
BaseRepresentation
bin110100010101110111…
…101110010000010000
312101001210001012111022
4310111313232100100
51410100041110020
641452453135012
74026503620433
oct642567562020
9171053035438
1056201503760
1121920313676
12aa8592a468
1353b87cb38c
142a121d381a
1516de032625
hexd15dee410

56201503760 has 80 divisors (see below), whose sum is σ = 132749955840. Its totient is φ = 22124344320.

The previous prime is 56201503727. The next prime is 56201503823. The reversal of 56201503760 is 6730510265.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 56201503760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963955 + ... + 1992365.

It is an arithmetic number, because the mean of its divisors is an integer number (1659374448).

Almost surely, 256201503760 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 56201503760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66374977920).

56201503760 is an abundant number, since it is smaller than the sum of its proper divisors (76548452080).

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

56201503760 is a wasteful number, since it uses less digits than its factorization.

56201503760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28816 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 56201503760 in words is "fifty-six billion, two hundred one million, five hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 313 316 395 626 632 790 1252 1264 1565 1580 2504 3130 3160 5008 6260 6320 12520 24727 25040 28411 49454 56822 98908 113644 123635 142055 197816 227288 247270 284110 395632 454576 494540 568220 989080 1136440 1978160 2244469 2272880 4488938 8892643 8977876 11222345 17785286 17955752 22444690 35570572 35911504 44463215 44889380 71141144 88926430 89778760 142282288 177852860 179557520 355705720 702518797 711411440 1405037594 2810075188 3512593985 5620150376 7025187970 11240300752 14050375940 28100751880 56201503760