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13793463936 = 273272244357
BaseRepresentation
bin11001101100010011…
…11000111010000000
31022121021211120100200
430312021320322000
5211222111321221
610200413445200
7665546336400
oct146611707200
938537746320
1013793463936
11593906167a
12280b4a0800
1313ba8a68a5
1494bcb2800
1555ae37426
hex336278e80

13793463936 has 144 divisors (see below), whose sum is σ = 46172665890. Its totient is φ = 3940973568.

The previous prime is 13793463913. The next prime is 13793463973. The reversal of 13793463936 is 63936439731.

13793463936 is a `hidden beast` number, since 1 + 3 + 7 + 93 + 463 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9992001600 + 3801462336 = 99960^2 + 61656^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×137934639362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65731 + ... + 178626.

Almost surely, 213793463936 is an apocalyptic number.

13793463936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13793463936 is an abundant number, since it is smaller than the sum of its proper divisors (32379201954).

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

13793463936 is a wasteful number, since it uses less digits than its factorization.

13793463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244391 (or 244369 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The spelling of 13793463936 in words is "thirteen billion, seven hundred ninety-three million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 244357 488714 733071 977428 1466142 1710499 1954856 2199213 2932284 3420998 3909712 4398426 5131497 5864568 6841996 7819424 8796852 10262994 11729136 11973493 13683992 15394491 15638848 17593704 20525988 23458272 23946986 27367984 30788982 31277696 35187408 35920479 41051976 46916544 47893972 54735968 61577964 70374816 71840958 82103952 93833088 95787944 107761437 109471936 123155928 140749632 143681916 164207904 191575888 215522874 218943872 246311856 281499264 287363832 328415808 383151776 431045748 492623712 574727664 656831616 766303552 862091496 985247424 1149455328 1532607104 1724182992 1970494848 2298910656 3448365984 4597821312 6896731968 13793463936