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56729431368 = 23322336379419
BaseRepresentation
bin110100110101010101…
…100110110101001000
312102102120102201000200
4310311111212311020
51412140213300433
642021112332200
74045544132121
oct646525466510
9172376381020
1056729431368
1122071315485
12abb26a4060
135470cb108c
142a62379048
151720565613
hexd35566d48

56729431368 has 96 divisors (see below), whose sum is σ = 160383412800. Its totient is φ = 18080751744.

The previous prime is 56729431361. The next prime is 56729431463. The reversal of 56729431368 is 86313492765.

56729431368 is a `hidden beast` number, since 567 + 2 + 9 + 4 + 3 + 13 + 68 = 666.

56729431368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56729431361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6018163 + ... + 6027581.

It is an arithmetic number, because the mean of its divisors is an integer number (1670660550).

Almost surely, 256729431368 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 56729431368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80191706400).

56729431368 is an abundant number, since it is smaller than the sum of its proper divisors (103653981432).

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

56729431368 is a wasteful number, since it uses less digits than its factorization.

56729431368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13091 (or 13084 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 56729431368 in words is "fifty-six billion, seven hundred twenty-nine million, four hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3637 7274 9419 10911 14548 18838 21822 28257 29096 32733 37676 43644 56514 65466 75352 83651 84771 87288 113028 130932 167302 169542 216637 226056 250953 261864 334604 339084 433274 501906 649911 669208 678168 752859 866548 1003812 1299822 1505718 1733096 1949733 2007624 2599644 3011436 3899466 5199288 6022872 7798932 15597864 34256903 68513806 102770709 137027612 205541418 274055224 308312127 411082836 616624254 787908769 822165672 1233248508 1575817538 2363726307 2466497016 3151635076 4727452614 6303270152 7091178921 9454905228 14182357842 18909810456 28364715684 56729431368