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57255687936 = 2832139178781
BaseRepresentation
bin110101010100101101…
…000111011100000000
312110210020200022022200
4311110231013130000
51414224424003221
642145232033200
74064564213616
oct652455073400
9173706608280
1057255687936
1122311385867
12b11a992800
13552602a2b5
142ab22076b6
151751868426
hexd54b47700

57255687936 has 108 divisors (see below), whose sum is σ = 166270835640. Its totient is φ = 18947819520.

The previous prime is 57255687889. The next prime is 57255687949. The reversal of 57255687936 is 63978655275.

57255687936 is a `hidden beast` number, since 5 + 7 + 2 + 556 + 8 + 79 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230866 + ... + 409646.

Almost surely, 257255687936 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 57255687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83135417820).

57255687936 is an abundant number, since it is smaller than the sum of its proper divisors (109015147704).

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

57255687936 is a wasteful number, since it uses less digits than its factorization.

57255687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178942 (or 178925 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 57255687936 in words is "fifty-seven billion, two hundred fifty-five million, six hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 8896 10008 13344 17792 20016 26688 35584 40032 53376 80064 106752 160128 178781 320256 357562 536343 715124 1072686 1430248 1609029 2145372 2860496 3218058 4290744 5720992 6436116 8581488 11441984 12872232 17162976 22883968 24850559 25744464 34325952 45767936 49701118 51488928 68651904 74551677 99402236 102977856 137303808 149103354 198804472 205955712 223655031 298206708 397608944 411911424 447310062 596413416 795217888 894620124 1192826832 1590435776 1789240248 2385653664 3180871552 3578480496 4771307328 6361743104 7156960992 9542614656 14313921984 19085229312 28627843968 57255687936