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56135152368 = 2432478294201
BaseRepresentation
bin110100010001111010…
…100111001011110000
312100220011012012111100
4310101322213023300
51404431044333433
641442123044400
74025036631231
oct642172471360
9170804165440
1056135152368
1121896914909
12aa67670700
1353a7b394b9
142a07481088
1516d82c7b13
hexd11ea72f0

56135152368 has 60 divisors (see below), whose sum is σ = 160443043488. Its totient is φ = 18313593600.

The previous prime is 56135152219. The next prime is 56135152369. The reversal of 56135152368 is 86325153165.

56135152368 is a `hidden beast` number, since 5 + 6 + 13 + 51 + 523 + 68 = 666.

56135152368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56135152369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140333 + ... + 4153868.

Almost surely, 256135152368 is an apocalyptic number.

It is an amenable number.

56135152368 is an abundant number, since it is smaller than the sum of its proper divisors (104307891120).

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

56135152368 is a wasteful number, since it uses less digits than its factorization.

56135152368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294262 (or 8294253 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 56135152368 in words is "fifty-six billion, one hundred thirty-five million, one hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 8294201 16588402 24882603 33176804 49765206 66353608 74647809 99530412 132707216 149295618 199060824 298591236 389827447 398121648 597182472 779654894 1169482341 1194364944 1559309788 2338964682 3118619576 3508447023 4677929364 6237239152 7016894046 9355858728 14033788092 18711717456 28067576184 56135152368