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56690023536 = 24322328160913
BaseRepresentation
bin110100110010111111…
…010001110001110000
312102022211021120122100
4310302333101301300
51412100121223121
642013143540400
74044555151356
oct646277216160
9172284246570
1056690023536
1122051049823
12aba145a700
135465a93c33
142a5b03b7d6
15171bd7e026
hexd32fd1c70

56690023536 has 120 divisors (see below), whose sum is σ = 166143178656. Its totient is φ = 18010460160.

The previous prime is 56690023483. The next prime is 56690023561. The reversal of 56690023536 is 63532009665.

56690023536 is a `hidden beast` number, since 5 + 6 + 6 + 90 + 0 + 23 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56690023491 and 56690023500.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 900216 + ... + 961128.

Almost surely, 256690023536 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 56690023536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83071589328).

56690023536 is an abundant number, since it is smaller than the sum of its proper divisors (109453155120).

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

56690023536 is a wasteful number, since it uses less digits than its factorization.

56690023536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61231 (or 61222 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 56690023536 in words is "fifty-six billion, six hundred ninety million, twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 281 368 414 552 562 828 843 1104 1124 1656 1686 2248 2529 3312 3372 4496 5058 6463 6744 10116 12926 13488 19389 20232 25852 38778 40464 51704 58167 60913 77556 103408 116334 121826 155112 182739 232668 243652 310224 365478 465336 487304 548217 730956 930672 974608 1096434 1400999 1461912 2192868 2801998 2923824 4202997 4385736 5603996 8405994 8771472 11207992 12608991 16811988 17116553 22415984 25217982 33623976 34233106 50435964 51349659 67247952 68466212 100871928 102699318 136932424 154048977 201743856 205398636 273864848 308097954 393680719 410797272 616195908 787361438 821594544 1181042157 1232391816 1574722876 2362084314 2464783632 3149445752 3543126471 4724168628 6298891504 7086252942 9448337256 14172505884 18896674512 28345011768 56690023536