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57503275752 = 233132328128517
BaseRepresentation
bin110101100011011101…
…100101101011101000
312111102111120001221210
4311203131211223220
51420231314311002
642225554433120
74103661531156
oct654335455350
9174374501853
1057503275752
112242911119a
12b1898927a0
135565406a70
142ad70563d6
15176847296c
hexd63765ae8

57503275752 has 128 divisors (see below), whose sum is σ = 162128252160. Its totient is φ = 16863221760.

The previous prime is 57503275747. The next prime is 57503275777. The reversal of 57503275752 is 25757230575.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 2002198 + ... + 2030714.

It is an arithmetic number, because the mean of its divisors is an integer number (1266626970).

Almost surely, 257503275752 is an apocalyptic number.

57503275752 is a gapful number since it is divisible by the number (52) 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 57503275752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81064126080).

57503275752 is an abundant number, since it is smaller than the sum of its proper divisors (104624976408).

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

57503275752 is a wasteful number, since it uses less digits than its factorization.

57503275752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28843 (or 28839 counting only the distinct ones).

The product of its (nonzero) digits is 2572500, while the sum is 48.

The spelling of 57503275752 in words is "fifty-seven billion, five hundred three million, two hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 281 299 312 552 562 598 843 897 1124 1196 1686 1794 2248 2392 3372 3588 3653 6463 6744 7176 7306 10959 12926 14612 19389 21918 25852 28517 29224 38778 43836 51704 57034 77556 84019 85551 87672 114068 155112 168038 171102 228136 252057 336076 342204 370721 504114 655891 672152 684408 741442 1008228 1112163 1311782 1482884 1967673 2016456 2224326 2623564 2965768 3935346 4448652 5247128 7870692 8013277 8526583 8897304 15741384 16026554 17053166 24039831 25579749 32053108 34106332 48079662 51159498 64106216 68212664 96159324 102318996 104172601 184305371 192318648 204637992 208345202 312517803 368610742 416690404 552916113 625035606 737221484 833380808 1105832226 1250071212 1474442968 2211664452 2395969823 2500142424 4423328904 4791939646 7187909469 9583879292 14375818938 19167758584 28751637876 57503275752