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13527394496 = 2671117161471
BaseRepresentation
bin11001001100100101…
…11010100011000000
31021220202011211200222
430212102322203000
5210201003110441
610114151002212
7656135645630
oct144622724300
937822154628
1013527394496
115811952780
122756369368
131377728b55
149248126c0
155428cbd4b
hex3264ba8c0

13527394496 has 112 divisors (see below), whose sum is σ = 35435999232. Its totient is φ = 4960358400.

The previous prime is 13527394457. The next prime is 13527394541. The reversal of 13527394496 is 69449372531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×135273944962 (a number of 21 digits) contains 22 as substring.

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, 3041 + ... + 164511.

Almost surely, 213527394496 is an apocalyptic number.

13527394496 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 13527394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717999616).

13527394496 is an abundant number, since it is smaller than the sum of its proper divisors (21908604736).

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

13527394496 is a wasteful number, since it uses less digits than its factorization.

13527394496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161518 (or 161508 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 53.

The spelling of 13527394496 in words is "thirteen billion, five hundred twenty-seven million, three hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 41888 83776 161471 322942 645884 1130297 1291768 1776181 2260594 2583536 2745007 3552362 4521188 5167072 5490014 7104724 9042376 10334144 10980028 12433267 14209448 18084752 19215049 21960056 24866534 28418896 30195077 36169504 38430098 43920112 49733068 56837792 60390154 72339008 76860196 87840224 99466136 113675584 120780308 153720392 175680448 198932272 211365539 241560616 307440784 397864544 422731078 483121232 614881568 795729088 845462156 966242464 1229763136 1690924312 1932484928 3381848624 6763697248 13527394496