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137212662385 = 51091330918917
BaseRepresentation
bin111111111001010000…
…0110001001001110001
3111010011120211110100201
41333302200301021301
54222002420144020
6143011251315201
712625154246401
oct1776240611161
9433146743321
10137212662385
1153211a75137
12227142abb01
13cc292793b6
1468d9382801
153881188a0a
hex1ff2831271

137212662385 has 16 divisors (see below), whose sum is σ = 166187062800. Its totient is φ = 108749143296.

The previous prime is 137212662331. The next prime is 137212662401. The reversal of 137212662385 is 583266212731.

It can be written as a sum of positive squares in 8 ways, for example, as 3233969424 + 133978692961 = 56868^2 + 366031^2 .

It is a cyclic number.

It is not a de Polignac number, because 137212662385 - 213 = 137212654193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243947 + ... + 7262863.

It is an arithmetic number, because the mean of its divisors is an integer number (10386691425).

Almost surely, 2137212662385 is an apocalyptic number.

It is an amenable number.

137212662385 is a deficient number, since it is larger than the sum of its proper divisors (28974400415).

137212662385 is a wasteful number, since it uses less digits than its factorization.

137212662385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32340.

The product of its digits is 725760, while the sum is 46.

The spelling of 137212662385 in words is "one hundred thirty-seven billion, two hundred twelve million, six hundred sixty-two thousand, three hundred eighty-five".

Divisors: 1 5 109 545 13309 18917 66545 94585 1450681 2061953 7253405 10309765 251766353 1258831765 27442532477 137212662385