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14979933696 = 293713107171
BaseRepresentation
bin11011111001101111…
…11010011000000000
31102122222101110220010
431330313322120000
5221134330334241
610514235544520
71040134223040
oct157467723000
942588343803
1014979933696
1163978669a2
122aa08bb140
1315496416c0
14a216bd720
155ca19dd16
hex37cdfa600

14979933696 has 160 divisors (see below), whose sum is σ = 49117356288. Its totient is φ = 3950714880.

The previous prime is 14979933667. The next prime is 14979933719. The reversal of 14979933696 is 69633997941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86191 + ... + 193361.

Almost surely, 214979933696 is an apocalyptic number.

14979933696 is a gapful number since it is divisible by the number (16) 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 14979933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558678144).

14979933696 is an abundant number, since it is smaller than the sum of its proper divisors (34137422592).

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

14979933696 is a wasteful number, since it uses less digits than its factorization.

14979933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107212 (or 107196 counting only the distinct ones).

The product of its digits is 59521392, while the sum is 66.

The spelling of 14979933696 in words is "fourteen billion, nine hundred seventy-nine million, nine hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 17472 19968 23296 34944 46592 69888 107171 139776 214342 321513 428684 643026 750197 857368 1286052 1393223 1500394 1714736 2250591 2572104 2786446 3000788 3429472 4179669 4501182 5144208 5572892 6001576 6858944 8359338 9002364 9752561 10288416 11145784 12003152 13717888 16718676 18004728 19505122 20576832 22291568 24006304 27435776 29257683 33437352 36009456 39010244 41153664 44583136 48012608 54871552 58515366 66874704 72018912 78020488 82307328 89166272 96025216 117030732 133749408 144037824 156040976 164614656 178332544 192050432 234061464 267498816 288075648 312081952 356665088 384100864 468122928 534997632 576151296 624163904 713330176 936245856 1069995264 1152302592 1248327808 1872491712 2139990528 2496655616 3744983424 4993311232 7489966848 14979933696