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56972667792 = 24373110314741
BaseRepresentation
bin110101000011110101…
…011110101110010000
312110001112010101200010
4311003311132232100
51413140000332132
642101201554520
74054556454165
oct650365365620
9173045111603
1056972667792
1122186649617
12b060045a40
1354ac4c6061
142a867b406c
151736ab06cc
hexd43d5eb90

56972667792 has 80 divisors (see below), whose sum is σ = 149340941568. Its totient is φ = 18712488960.

The previous prime is 56972667761. The next prime is 56972667847. The reversal of 56972667792 is 29776627965.

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 15 ways as a sum of consecutive naturals, for example, 3857542 + ... + 3872282.

Almost surely, 256972667792 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 56972667792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74670470784).

56972667792 is an abundant number, since it is smaller than the sum of its proper divisors (92368273776).

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

56972667792 is a wasteful number, since it uses less digits than its factorization.

56972667792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 15922 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 66.

The spelling of 56972667792 in words is "fifty-six billion, nine hundred seventy-two million, six hundred sixty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1103 1168 1752 2206 3309 3504 4412 6618 8824 13236 14741 17648 26472 29482 44223 52944 58964 80519 88446 117928 161038 176892 235856 241557 322076 353784 483114 644152 707568 966228 1076093 1288304 1932456 2152186 3228279 3864912 4304372 6456558 8608744 12913116 16259323 17217488 25826232 32518646 48777969 51652464 65037292 97555938 130074584 195111876 260149168 390223752 780447504 1186930579 2373861158 3560791737 4747722316 7121583474 9495444632 14243166948 18990889264 28486333896 56972667792