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13026493125 = 32542698609
BaseRepresentation
bin11000010000111000…
…01000001011000101
31020121211122102012100
430020130020023011
5203134240240000
65552334542313
7640544236032
oct141034101305
936554572170
1013026493125
1155851300a8
122636667999
1312c7a196c9
148b80a4389
15513936a00
hex3087082c5

13026493125 has 60 divisors (see below), whose sum is σ = 23602679100. Its totient is φ = 6920832000.

The previous prime is 13026493091. The next prime is 13026493177. The reversal of 13026493125 is 52139462031.

13026493125 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 649 + 3 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12896327844 + 130165281 = 113562^2 + 11409^2 .

It is not a de Polignac number, because 13026493125 - 26 = 13026493061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13026493125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1508821 + ... + 1517429.

It is an arithmetic number, because the mean of its divisors is an integer number (393377985).

Almost surely, 213026493125 is an apocalyptic number.

13026493125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13026493125 is a deficient number, since it is larger than the sum of its proper divisors (10576185975).

13026493125 is an equidigital number, since it uses as much as digits as its factorization.

13026493125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13026493125 in words is "thirteen billion, twenty-six million, four hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 269 375 625 807 1125 1345 1875 2421 4035 5625 6725 8609 12105 20175 25827 33625 43045 60525 77481 100875 129135 168125 215225 302625 387405 504375 645675 1076125 1513125 1937025 2315821 3228375 5380625 6947463 9685125 11579105 16141875 20842389 34737315 48425625 57895525 104211945 173686575 289477625 521059725 868432875 1447388125 2605298625 4342164375 13026493125