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56956202226 = 232721119319967
BaseRepresentation
bin110101000010110110…
…101010110011110010
312110000101010212011100
4311002312222303302
51413121241432401
642055413025230
74054266505500
oct650266526362
9173011125140
1056956202226
1122178322810
12b056625216
1354a8c7c611
142a84529670
15173540bb86
hexd42daacf2

56956202226 has 288 divisors, whose sum is σ = 170180075520. Its totient is φ = 13561732800.

The previous prime is 56956202179. The next prime is 56956202293. The reversal of 56956202226 is 62220265965.

56956202226 is a `hidden beast` number, since 5 + 69 + 562 + 0 + 2 + 2 + 26 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5709495 + ... + 5719461.

It is an arithmetic number, because the mean of its divisors is an integer number (590903040).

Almost surely, 256956202226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56956202226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85090037760).

56956202226 is an abundant number, since it is smaller than the sum of its proper divisors (113223873294).

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

56956202226 is a wasteful number, since it uses less digits than its factorization.

56956202226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 56956202226 in words is "fifty-six billion, nine hundred fifty-six million, two hundred two thousand, two hundred twenty-six".