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13607652640 = 255321726437
BaseRepresentation
bin11001010110001010…
…00100110100100000
31022010100012101011211
430223011010310200
5210332024341030
610130135115504
7661132065451
oct145305046440
938110171154
1013607652640
11585318a91a
122779212b94
13138b24988a
14931345128
1554998212a
hex32b144d20

13607652640 has 48 divisors (see below), whose sum is σ = 32159288952. Its totient is φ = 5441163264.

The previous prime is 13607652607. The next prime is 13607652661. The reversal of 13607652640 is 4625670631.

It can be written as a sum of positive squares in 4 ways, for example, as 13575978256 + 31674384 = 116516^2 + 5628^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13607652593 and 13607652602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501502 + ... + 527938.

Almost surely, 213607652640 is an apocalyptic number.

13607652640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13607652640 is an abundant number, since it is smaller than the sum of its proper divisors (18551636312).

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

13607652640 is a wasteful number, since it uses less digits than its factorization.

13607652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669 (or 29661 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 13607652640 in words is "thirteen billion, six hundred seven million, six hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3217 6434 12868 16085 25736 26437 32170 51472 52874 64340 102944 105748 128680 132185 211496 257360 264370 422992 514720 528740 845984 1057480 2114960 4229920 85047829 170095658 340191316 425239145 680382632 850478290 1360765264 1700956580 2721530528 3401913160 6803826320 13607652640