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13725440325 = 32522313919081
BaseRepresentation
bin11001100100001100…
…11001100101000101
31022102112211121111200
430302012121211011
5211102203042300
610145543453113
7664062214002
oct146206314505
938375747450
1013725440325
115903720513
1227b0757199
1313a977a82c
14942c468a9
15554e9c200
hex332199945

13725440325 has 72 divisors (see below), whose sum is σ = 25838554560. Its totient is φ = 6951225600.

The previous prime is 13725440293. The next prime is 13725440347. The reversal of 13725440325 is 52304452731.

13725440325 is a `hidden beast` number, since 13 + 72 + 544 + 0 + 32 + 5 = 666.

It is not a de Polignac number, because 13725440325 - 25 = 13725440293 is a prime.

It is a super-2 number, since 2×137254403252 (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 13725440325.

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, 709785 + ... + 728865.

Almost surely, 213725440325 is an apocalyptic number.

13725440325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13725440325 is a deficient number, since it is larger than the sum of its proper divisors (12113114235).

13725440325 is a wasteful number, since it uses less digits than its factorization.

13725440325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19259 (or 19251 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 13725440325 in words is "thirteen billion, seven hundred twenty-five million, four hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 139 207 225 345 417 575 695 1035 1251 1725 2085 3197 3475 5175 6255 9591 10425 15985 19081 28773 31275 47955 57243 79925 95405 143865 171729 239775 286215 438863 477025 719325 858645 1316589 1431075 2194315 2652259 3949767 4293225 6582945 7956777 10971575 13261295 19748835 23870331 32914725 39783885 61001957 66306475 98744175 119351655 183005871 198919425 305009785 549017613 596758275 915029355 1525048925 2745088065 4575146775 13725440325