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14538975696 = 2432731465277
BaseRepresentation
bin11011000101001011…
…10010100111010000
31101112020122111020100
431202211302213100
5214233434210241
610402404412400
71023201153150
oct154245624720
941466574210
1014538975696
1161909666a3
1229990a7100
1314a918c4cb
149bccd6760
155a15e99b6
hex3629729d0

14538975696 has 120 divisors (see below), whose sum is σ = 48001800704. Its totient is φ = 4019984640.

The previous prime is 14538975691. The next prime is 14538975697. The reversal of 14538975696 is 69657983541.

14538975696 is a `hidden beast` number, since 1 + 4 + 538 + 9 + 7 + 5 + 6 + 96 = 666.

It is a super-2 number, since 2×145389756962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538975691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201391 + ... + 263886.

Almost surely, 214538975696 is an apocalyptic number.

14538975696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14538975696 is an abundant number, since it is smaller than the sum of its proper divisors (33462825008).

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

14538975696 is a wasteful number, since it uses less digits than its factorization.

14538975696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465329 (or 465320 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 14538975696 in words is "fourteen billion, five hundred thirty-eight million, nine hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 465277 930554 1395831 1861108 2791662 3256939 3722216 4187493 5583324 6513878 7444432 8374986 9770817 11166648 13027756 14423587 16749972 19541634 22333296 26055512 28847174 29312451 33499944 39083268 43270761 52111024 57694348 58624902 66999888 78166536 86541522 100965109 115388696 117249804 129812283 156333072 173083044 201930218 230777392 234499608 259624566 302895327 346166088 403860436 468999216 519249132 605790654 692332176 807720872 908685981 1038498264 1211581308 1615441744 1817371962 2076996528 2423162616 3634743924 4846325232 7269487848 14538975696