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13525101972 = 22323112119267
BaseRepresentation
bin11001001100010100…
…01010110110010100
31021220120212100221200
430212022022312110
5210144411230342
610114025512500
7656110320114
oct144612126624
937816770850
1013525101972
115810627328
122755642730
131377105525
149243b7044
155425c794c
hex32628ad94

13525101972 has 36 divisors (see below), whose sum is σ = 35291308416. Its totient is φ = 4362935760.

The previous prime is 13525101929. The next prime is 13525102009. The reversal of 13525101972 is 27910152531.

13525101972 is a `hidden beast` number, since 1 + 3 + 52 + 510 + 1 + 97 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6058518 + ... + 6060749.

Almost surely, 213525101972 is an apocalyptic number.

13525101972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13525101972 is an abundant number, since it is smaller than the sum of its proper divisors (21766206444).

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

13525101972 is a wasteful number, since it uses less digits than its factorization.

13525101972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119308 (or 12119303 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 13525101972 in words is "thirteen billion, five hundred twenty-five million, one hundred one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 12119267 24238534 36357801 48477068 72715602 109073403 145431204 218146806 375697277 436293612 751394554 1127091831 1502789108 2254183662 3381275493 4508367324 6762550986 13525101972