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57902052864 = 29399138039
BaseRepresentation
bin110101111011001110…
…110011011000000000
312112110021221001022110
4311323032303120000
51422040411142424
642333321535320
74116603220515
oct657316633000
9175407831273
1057902052864
1122613221357
12b27b344540
1355c9c0a856
142b33dbd30c
15178d493c29
hexd7b3b3600

57902052864 has 80 divisors (see below), whose sum is σ = 154414402560. Its totient is φ = 19280701440.

The previous prime is 57902052851. The next prime is 57902052919. The reversal of 57902052864 is 46825020975.

57902052864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503157 + ... + 1541195.

It is an arithmetic number, because the mean of its divisors is an integer number (1930180032).

Almost surely, 257902052864 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 57902052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77207201280).

57902052864 is an abundant number, since it is smaller than the sum of its proper divisors (96512349696).

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

57902052864 is an equidigital number, since it uses as much as digits as its factorization.

57902052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39051 (or 39035 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 57902052864 in words is "fifty-seven billion, nine hundred two million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 991 1536 1982 2973 3964 5946 7928 11892 15856 23784 31712 38039 47568 63424 76078 95136 114117 126848 152156 190272 228234 253696 304312 380544 456468 507392 608624 761088 912936 1217248 1522176 1825872 2434496 3651744 4868992 7303488 9737984 14606976 19475968 29213952 37696649 58427904 75393298 113089947 150786596 226179894 301573192 452359788 603146384 904719576 1206292768 1809439152 2412585536 3618878304 4825171072 7237756608 9650342144 14475513216 19300684288 28951026432 57902052864