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13385286432 = 253276639527
BaseRepresentation
bin11000111011101001…
…10100001100100000
31021112211210000002100
430131310310030200
5204403113131212
610052113050400
7652462025460
oct143564641440
937484700070
1013385286432
1157497108a1
122716856a00
13135416113b
1490d9bdba0
155351aabdc
hex31dd34320

13385286432 has 72 divisors (see below), whose sum is σ = 43502187456. Its totient is φ = 3824366976.

The previous prime is 13385286403. The next prime is 13385286461. The reversal of 13385286432 is 23468258331.

13385286432 is a `hidden beast` number, since 1 + 3 + 38 + 528 + 64 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13385286403) and next prime (13385286461).

It is a tau number, because it is divible by the number of its divisors (72).

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, 3317748 + ... + 3321779.

It is an arithmetic number, because the mean of its divisors is an integer number (604197048).

Almost surely, 213385286432 is an apocalyptic number.

13385286432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13385286432 is an abundant number, since it is smaller than the sum of its proper divisors (30116901024).

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

13385286432 is a wasteful number, since it uses less digits than its factorization.

13385286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639550 (or 6639539 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 13385286432 in words is "thirteen billion, three hundred eighty-five million, two hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6639527 13279054 19918581 26558108 39837162 46476689 53116216 59755743 79674324 92953378 106232432 119511486 139430067 159348648 185906756 212464864 239022972 278860134 318697296 371813512 418290201 478045944 557720268 637394592 743627024 836580402 956091888 1115440536 1487254048 1673160804 1912183776 2230881072 3346321608 4461762144 6692643216 13385286432