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14668113264 = 2437173182837
BaseRepresentation
bin11011010100100100…
…11010010101110000
31101212020122100200020
431222102122111300
5220020014111024
610423300323440
71026326622420
oct155222322560
941766570606
1014668113264
116247849662
122a143a3580
1314c9b6557c
149d2110480
155acb07979
hex36a49a570

14668113264 has 160 divisors (see below), whose sum is σ = 47332970496. Its totient is φ = 3817082880.

The previous prime is 14668113227. The next prime is 14668113289. The reversal of 14668113264 is 46231186641.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135654 + ... + 218490.

Almost surely, 214668113264 is an apocalyptic number.

14668113264 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 14668113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23666485248).

14668113264 is an abundant number, since it is smaller than the sum of its proper divisors (32664857232).

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

14668113264 is a wasteful number, since it uses less digits than its factorization.

14668113264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82903 (or 82897 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 14668113264 in words is "fourteen billion, six hundred sixty-eight million, one hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 238 248 272 336 357 372 408 434 476 496 527 651 714 744 816 868 952 1054 1302 1428 1488 1581 1736 1904 2108 2604 2856 3162 3472 3689 4216 5208 5712 6324 7378 8432 10416 11067 12648 14756 22134 25296 29512 44268 59024 82837 88536 165674 177072 248511 331348 497022 579859 662696 994044 1159718 1325392 1408229 1739577 1988088 2319436 2567947 2816458 3479154 3976176 4224687 4638872 5135894 5632916 6958308 7703841 8449374 9277744 9857603 10271788 11265832 13916616 15407682 16898748 17975629 19715206 20543576 22531664 27833232 29572809 30815364 33797496 35951258 39430412 41087152 43655099 53926887 59145618 61630728 67594992 71902516 78860824 87310198 107853774 118291236 123261456 130965297 143805032 157721648 174620396 215707548 236582472 261930594 287610064 305585693 349240792 431415096 473164944 523861188 611171386 698481584 862830192 916757079 1047722376 1222342772 1833514158 2095444752 2444685544 3667028316 4889371088 7334056632 14668113264