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56792664630 = 23251325370451
BaseRepresentation
bin110100111001000110…
…110100101000110110
312102120222102021202100
4310321012310220312
51412302410232010
642031251522530
74050242453502
oct647106645066
9172528367670
1056792664630
11220a3a84579
12b00b8b9446
135481120900
142a6a919302
151725da62c0
hexd391b4a36

56792664630 has 144 divisors (see below), whose sum is σ = 162912359376. Its totient is φ = 13715769600.

The previous prime is 56792664587. The next prime is 56792664641. The reversal of 56792664630 is 3646629765.

56792664630 is a `hidden beast` number, since 56 + 79 + 2 + 66 + 463 + 0 = 666.

56792664630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 770905 + ... + 841355.

It is an arithmetic number, because the mean of its divisors is an integer number (1131335829).

Almost surely, 256792664630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56792664630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81456179688).

56792664630 is an abundant number, since it is smaller than the sum of its proper divisors (106119694746).

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

56792664630 is a wasteful number, since it uses less digits than its factorization.

56792664630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70543 (or 70527 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 56792664630 in words is "fifty-six billion, seven hundred ninety-two million, six hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 169 195 234 265 318 338 390 477 507 530 585 689 795 845 954 1014 1170 1378 1521 1590 1690 2067 2385 2535 3042 3445 4134 4770 5070 6201 6890 7605 8957 10335 12402 15210 17914 20670 26871 31005 44785 53742 62010 70451 80613 89570 134355 140902 161226 211353 268710 352255 403065 422706 634059 704510 806130 915863 1056765 1268118 1831726 2113530 2747589 3170295 3733903 4579315 5495178 6340590 7467806 8242767 9158630 11201709 11906219 13737945 16485534 18669515 22403418 23812438 27475890 33605127 35718657 37339030 41213835 48540739 56008545 59531095 67210254 71437314 82427670 97081478 107155971 112017090 119062190 145622217 168025635 178593285 214311942 242703695 291244434 336051270 357186570 436866651 485407390 535779855 631029607 728111085 873733302 1071559710 1262059214 1456222170 1893088821 2184333255 3155148035 3786177642 4368666510 5679266463 6310296070 9465444105 11358532926 18930888210 28396332315 56792664630