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56758145796 = 223311181263957
BaseRepresentation
bin110100110111000011…
…001001001100000100
312102111120110112211000
4310313003021030010
51412220041131141
642024020013300
74046343164502
oct646703111404
9172446415730
1056758145796
1122086548010
12b000231230
135476c25b71
142a660d1672
151722d385b6
hexd370c9304

56758145796 has 96 divisors (see below), whose sum is σ = 161415596160. Its totient is φ = 17104348800.

The previous prime is 56758145753. The next prime is 56758145809. The reversal of 56758145796 is 69754185765.

56758145796 is a `hidden beast` number, since 5 + 6 + 7 + 58 + 1 + 4 + 579 + 6 = 666.

It is a super-2 number, since 2×567581457962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83050 + ... + 347006.

It is an arithmetic number, because the mean of its divisors is an integer number (1681412460).

Almost surely, 256758145796 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 56758145796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80707798080).

56758145796 is an abundant number, since it is smaller than the sum of its proper divisors (104657450364).

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

56758145796 is a wasteful number, since it uses less digits than its factorization.

56758145796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264162 (or 264154 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 56758145796 in words is "fifty-six billion, seven hundred fifty-eight million, one hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 3258 3982 4887 5973 6516 7964 9774 11946 17919 19548 23892 35838 53757 71676 107514 215028 263957 527914 791871 1055828 1583742 2375613 2903527 3167484 4751226 5807054 7126839 8710581 9502452 11614108 14253678 17421162 26131743 28507356 34842324 47776217 52263486 78395229 95552434 104526972 143328651 156790458 191104868 286657302 313580916 429985953 525538387 573314604 859971906 1051076774 1289957859 1576615161 1719943812 2102153548 2579915718 3153230322 4729845483 5159831436 6306460644 9459690966 14189536449 18919381932 28379072898 56758145796