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56034637956 = 223211853165887
BaseRepresentation
bin110100001011111011…
…001011100010000100
312100122011001112122100
4310023323023202010
51404224331403311
641424132432100
74022406364263
oct641373134204
9170564045570
1056034637956
1121845101950
12aa39a78630
13539007580b
1429d7d985da
1516ce570a56
hexd0becb884

56034637956 has 72 divisors (see below), whose sum is σ = 154701840384. Its totient is φ = 16960184640.

The previous prime is 56034637951. The next prime is 56034637969. The reversal of 56034637956 is 65973643065.

56034637956 is a `hidden beast` number, since 5 + 60 + 3 + 463 + 79 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (56034637951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254845 + ... + 420731.

It is an arithmetic number, because the mean of its divisors is an integer number (2148636672).

Almost surely, 256034637956 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 56034637956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77350920192).

56034637956 is an abundant number, since it is smaller than the sum of its proper divisors (98667202428).

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

56034637956 is a wasteful number, since it uses less digits than its factorization.

56034637956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166761 (or 166756 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 56034637956 in words is "fifty-six billion, thirty-four million, six hundred thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 853 1706 2559 3412 5118 7677 9383 10236 15354 18766 28149 30708 37532 56298 84447 112596 165887 168894 331774 337788 497661 663548 995322 1492983 1824757 1990644 2985966 3649514 5474271 5971932 7299028 10948542 16422813 21897084 32845626 65691252 141501611 283003222 424504833 566006444 849009666 1273514499 1556517721 1698019332 2547028998 3113035442 4669553163 5094057996 6226070884 9339106326 14008659489 18678212652 28017318978 56034637956