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13933818864 = 2432728149193
BaseRepresentation
bin11001111101000010…
…10011001111110000
31022222001221100010100
430332201103033300
5212014024200424
610222350032400
71002202335420
oct147641231760
938861840110
1013933818864
115a00306389
12284a4a8700
1314109a9644
149627aa480
1556840ddc9
hex33e8533f0

13933818864 has 120 divisors (see below), whose sum is σ = 44725610592. Its totient is φ = 3966842880.

The previous prime is 13933818779. The next prime is 13933818911. The reversal of 13933818864 is 46881833931.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13933818864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258652 + ... + 307844.

Almost surely, 213933818864 is an apocalyptic number.

13933818864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13933818864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362805296).

13933818864 is an abundant number, since it is smaller than the sum of its proper divisors (30791791728).

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

13933818864 is a wasteful number, since it uses less digits than its factorization.

13933818864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49495 (or 49486 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13933818864 in words is "thirteen billion, nine hundred thirty-three million, eight hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 281 336 504 562 843 1008 1124 1686 1967 2248 2529 3372 3934 4496 5058 5901 6744 7868 10116 11802 13488 15736 17703 20232 23604 31472 35406 40464 47208 49193 70812 94416 98386 141624 147579 196772 283248 295158 344351 393544 442737 590316 688702 787088 885474 1033053 1180632 1377404 1770948 2066106 2361264 2754808 3099159 3541896 4132212 5509616 6198318 7083792 8264424 12396636 13823233 16528848 24793272 27646466 41469699 49586544 55292932 82939398 96762631 110585864 124409097 165878796 193525262 221171728 248818194 290287893 331757592 387050524 497636388 580575786 663515184 774101048 870863679 995272776 1161151572 1548202096 1741727358 1990545552 2322303144 3483454716 4644606288 6966909432 13933818864