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57502668864 = 26319109714369
BaseRepresentation
bin110101100011011011…
…010001100001000000
312111102110102020110110
4311203123101201000
51420231140400424
642225533431320
74103653422624
oct654333214100
9174373366413
1057502668864
1122428837233
12b18963b540
135565253764
142ad6d39184
1517683a2c29
hexd636d1840

57502668864 has 112 divisors (see below), whose sum is σ = 160307121600. Its totient is φ = 18140921856.

The previous prime is 57502668803. The next prime is 57502668877. The reversal of 57502668864 is 46886620575.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3994672 + ... + 4009040.

Almost surely, 257502668864 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 57502668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80153560800).

57502668864 is an abundant number, since it is smaller than the sum of its proper divisors (102804452736).

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

57502668864 is a wasteful number, since it uses less digits than its factorization.

57502668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 57502668864 in words is "fifty-seven billion, five hundred two million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1097 1216 1824 2194 3291 3648 4388 6582 8776 13164 14369 17552 20843 26328 28738 35104 41686 43107 52656 57476 62529 70208 83372 86214 105312 114952 125058 166744 172428 210624 229904 250116 273011 333488 344856 459808 500232 546022 666976 689712 819033 919616 1000464 1092044 1333952 1379424 1638066 2000928 2184088 2758848 3276132 4001856 4368176 6552264 8736352 13104528 15762793 17472704 26209056 31525586 47288379 52418112 63051172 94576758 126102344 189153516 252204688 299493067 378307032 504409376 598986134 756614064 898479201 1008818752 1197972268 1513228128 1796958402 2395944536 3026456256 3593916804 4791889072 7187833608 9583778144 14375667216 19167556288 28751334432 57502668864