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56060010072 = 233211307230563
BaseRepresentation
bin110100001101011011…
…111101111001011000
312100200220210120122100
4310031123331321120
51404302330310242
641430440323400
74023135136413
oct641533757130
9170626716570
1056060010072
1121858461340
12aa46473560
1353953ba1c1
1429db4c0b7a
1516d18d354c
hexd0d6fde58

56060010072 has 96 divisors (see below), whose sum is σ = 166172086080. Its totient is φ = 16932473280.

The previous prime is 56060010053. The next prime is 56060010077. The reversal of 56060010072 is 27001006065.

56060010072 is a `hidden beast` number, since 56 + 0 + 600 + 1 + 0 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56060010077) 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, 127863 + ... + 358425.

It is an arithmetic number, because the mean of its divisors is an integer number (1730959230).

Almost surely, 256060010072 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 56060010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83086043040).

56060010072 is an abundant number, since it is smaller than the sum of its proper divisors (110112076008).

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

56060010072 is a wasteful number, since it uses less digits than its factorization.

56060010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230893 (or 230886 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 56060010072 in words is "fifty-six billion, sixty million, ten thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 307 396 614 792 921 1228 1842 2456 2763 3377 3684 5526 6754 7368 10131 11052 13508 20262 22104 27016 30393 40524 60786 81048 121572 230563 243144 461126 691689 922252 1383378 1844504 2075067 2536193 2766756 4150134 5072386 5533512 7608579 8300268 10144772 15217158 16600536 20289544 22825737 30434316 45651474 60868632 70782841 91302948 141565682 182605896 212348523 283131364 424697046 566262728 637045569 778611251 849394092 1274091138 1557222502 1698788184 2335833753 2548182276 3114445004 4671667506 5096364552 6228890008 7007501259 9343335012 14015002518 18686670024 28030005036 56060010072