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13187249964 = 2232752330357
BaseRepresentation
bin11000100100000010…
…10111011100101100
31021001001010201010100
430102001113130230
5204001413444324
610020320311100
7644535526620
oct142201273454
937031121110
1013187249964
11565794a099
122680472490
1313221137b5
148d158d180
15522add4c9
hex31205772c

13187249964 has 36 divisors (see below), whose sum is σ = 38096500624. Its totient is φ = 3767785632.

The previous prime is 13187249941. The next prime is 13187249981. The reversal of 13187249964 is 46994278131.

13187249964 is a `hidden beast` number, since 13 + 1 + 87 + 2 + 499 + 64 = 666.

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

It is a super-2 number, since 2×131872499642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13187249964.

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, 26164927 + ... + 26165430.

Almost surely, 213187249964 is an apocalyptic number.

13187249964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13187249964 is an abundant number, since it is smaller than the sum of its proper divisors (24909250660).

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

13187249964 is a wasteful number, since it uses less digits than its factorization.

13187249964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52330374 (or 52330369 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13187249964 in words is "thirteen billion, one hundred eighty-seven million, two hundred forty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 52330357 104660714 156991071 209321428 313982142 366312499 470973213 627964284 732624998 941946426 1098937497 1465249996 1883892852 2197874994 3296812491 4395749988 6593624982 13187249964