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13525855040 = 265233181409
BaseRepresentation
bin11001001100011010…
…00010101101000000
31021220122021121222002
430212031002231000
5210200104330130
610114054003132
7656116604465
oct144615025500
937818247862
1013525855040
115810aa10a5
1227559464a8
13137730a229
1492453166c
155426c5b45
hex326342b40

13525855040 has 56 divisors (see below), whose sum is σ = 32346854280. Its totient is φ = 5387091968.

The previous prime is 13525855039. The next prime is 13525855073. The reversal of 13525855040 is 4055852531.

It can be written as a sum of positive squares in 4 ways, for example, as 2992527616 + 10533327424 = 54704^2 + 102632^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13525854985 and 13525855003.

It is a congruent number.

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, 16145 + ... + 165264.

Almost surely, 213525855040 is an apocalyptic number.

13525855040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13525855040 is an abundant number, since it is smaller than the sum of its proper divisors (18820999240).

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

13525855040 is a wasteful number, since it uses less digits than its factorization.

13525855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181659 (or 181649 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 13525855040 in words is "thirteen billion, five hundred twenty-five million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1864 2330 3728 4660 7456 9320 14912 18640 37280 74560 181409 362818 725636 907045 1451272 1814090 2902544 3628180 5805088 7256360 11610176 14512720 29025440 42268297 58050880 84536594 169073188 211341485 338146376 422682970 676292752 845365940 1352585504 1690731880 2705171008 3381463760 6762927520 13525855040