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13810376925 = 32521131813001
BaseRepresentation
bin11001101110010100…
…11010000011011101
31022122110122211121200
430313022122003131
5211240424030200
610202220150113
7666143160402
oct146712320335
938573584550
1013810376925
115947663654
122815098339
1313c1248b87
149502362a9
1555c678800
hex33729a0dd

13810376925 has 72 divisors (see below), whose sum is σ = 25101054888. Its totient is φ = 7257600000.

The previous prime is 13810376903. The next prime is 13810376941. The reversal of 13810376925 is 52967301831.

It can be written as a sum of positive squares in 12 ways, for example, as 11824605081 + 1985771844 = 108741^2 + 44562^2 .

It is not a de Polignac number, because 13810376925 - 25 = 13810376893 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4600425 + ... + 4603425.

Almost surely, 213810376925 is an apocalyptic number.

13810376925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13810376925 is a deficient number, since it is larger than the sum of its proper divisors (11290677963).

13810376925 is a wasteful number, since it uses less digits than its factorization.

13810376925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13810376925 in words is "thirteen billion, eight hundred ten million, three hundred seventy-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 181 225 339 543 565 905 1017 1629 1695 2715 2825 3001 4525 5085 8145 8475 9003 13575 15005 20453 25425 27009 40725 45015 61359 75025 102265 135045 184077 225075 306795 339113 511325 543181 675225 920385 1017339 1533975 1629543 1695565 2715905 3052017 4601925 4888629 5086695 8147715 8477825 13579525 15260085 24443145 25433475 40738575 61379453 76300425 122215725 184138359 306897265 552415077 920691795 1534486325 2762075385 4603458975 13810376925