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13187457540 = 22325343321341
BaseRepresentation
bin11000100100000100…
…01010001000000100
31021001001112020212100
430102002022020010
5204001442120130
610020324552100
7644540353035
oct142202121004
937031466770
1013187457540
115657a81044
122680552630
13132218711a
148d1604a8c
15522b2ec60
hex31208a204

13187457540 has 72 divisors (see below), whose sum is σ = 40015481688. Its totient is φ = 3515466240.

The previous prime is 13187457533. The next prime is 13187457599. The reversal of 13187457540 is 4575478131.

13187457540 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 74 + 575 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4130889984 + 9056567556 = 64272^2 + 95166^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607270 + ... + 628610.

It is an arithmetic number, because the mean of its divisors is an integer number (555770579).

Almost surely, 213187457540 is an apocalyptic number.

13187457540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13187457540 is an abundant number, since it is smaller than the sum of its proper divisors (26828024148).

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

13187457540 is a wasteful number, since it uses less digits than its factorization.

13187457540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24789 (or 24784 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 13187457540 in words is "thirteen billion, one hundred eighty-seven million, four hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3433 6866 10299 13732 17165 20598 21341 30897 34330 41196 42682 51495 61794 64023 68660 85364 102990 106705 123588 128046 154485 192069 205980 213410 256092 308970 320115 384138 426820 617940 640230 768276 960345 1280460 1920690 3841380 73263653 146527306 219790959 293054612 366318265 439581918 659372877 732636530 879163836 1098954795 1318745754 1465273060 2197909590 2637491508 3296864385 4395819180 6593728770 13187457540