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137405886489 = 36137292
BaseRepresentation
bin111111111111000000…
…1110111000000011001
3111010200001102021000000
41333332001313000121
54222401401331424
6143042353003213
712633021523104
oct1777601670031
9433601367000
10137405886489
115330104a283
1222768b53509
13cc5a3004a1
146916cbd73b
1538931053c9
hex1ffe077019

137405886489 has 21 divisors (see below), whose sum is σ = 206029593903. Its totient is φ = 91597252032.

The previous prime is 137405886479. The next prime is 137405886511. The reversal of 137405886489 is 984688504731.

The square root of 137405886489 is 370683.

It is a perfect power (a square), and thus also a powerful number.

137405886489 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 588 + 6 + 48 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50475260889 + 86930625600 = 224667^2 + 294840^2 .

It is not a de Polignac number, because 137405886489 - 221 = 137403789337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137405886479) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10001577 + ... + 10015305.

It is an arithmetic number, because the mean of its divisors is an integer number (9810933043).

Almost surely, 2137405886489 is an apocalyptic number.

137405886489 is the 370683-rd square number.

137405886489 is the 185342-nd centered octagonal number.

It is an amenable number.

137405886489 is a deficient number, since it is larger than the sum of its proper divisors (68623707414).

137405886489 is an frugal number, since it uses more digits than its factorization.

137405886489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27476 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 137405886489 in words is "one hundred thirty-seven billion, four hundred five million, eight hundred eighty-six thousand, four hundred eighty-nine".

Divisors: 1 3 9 27 81 243 729 13729 41187 123561 370683 1112049 3336147 10008441 188485441 565456323 1696368969 5089106907 15267320721 45801962163 137405886489