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57155002016 = 257585143609
BaseRepresentation
bin110101001110101101…
…000001111010100000
312110112020012221012112
4311032231001322200
51414023140031031
642131234014452
74062232333640
oct651655017240
9173466187175
1057155002016
112226a565a62
12b0b1117428
13550b206528
142aa2ab8520
151747aca62b
hexd4eb41ea0

57155002016 has 48 divisors (see below), whose sum is σ = 128623682880. Its totient is φ = 24490252800.

The previous prime is 57155002013. The next prime is 57155002049. The reversal of 57155002016 is 61020055175.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (57155002013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1288820 + ... + 1332428.

It is an arithmetic number, because the mean of its divisors is an integer number (2679660060).

Almost surely, 257155002016 is an apocalyptic number.

57155002016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57155002016 is an abundant number, since it is smaller than the sum of its proper divisors (71468680864).

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

57155002016 is a wasteful number, since it uses less digits than its factorization.

57155002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49477 (or 49469 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 57155002016 in words is "fifty-seven billion, one hundred fifty-five million, two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 5851 11702 23404 40957 43609 46808 81914 87218 93616 163828 174436 187232 305263 327656 348872 610526 655312 697744 1221052 1310624 1395488 2442104 4884208 9768416 255156259 510312518 1020625036 1786093813 2041250072 3572187626 4082500144 7144375252 8165000288 14288750504 28577501008 57155002016