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137626389 = 3273209477
BaseRepresentation
bin10000011010000…
…00001100010101
3100120222010220200
420031000030111
5240213021024
621353451113
73260543055
oct1015001425
9316863820
10137626389
117076081a
123a110a99
1322688b44
14143c7565
15c1382c9
hex8340315

137626389 has 12 divisors (see below), whose sum is σ = 201517836. Its totient is φ = 90493632.

The previous prime is 137626369. The next prime is 137626439. The reversal of 137626389 is 983626731.

137626389 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 638 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80245764 + 57380625 = 8958^2 + 7575^2 .

It is not a de Polignac number, because 137626389 - 27 = 137626261 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137626369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104082 + ... + 105395.

It is an arithmetic number, because the mean of its divisors is an integer number (16793153).

Almost surely, 2137626389 is an apocalyptic number.

It is an amenable number.

137626389 is a deficient number, since it is larger than the sum of its proper divisors (63891447).

137626389 is a wasteful number, since it uses less digits than its factorization.

137626389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209556 (or 209553 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 137626389 is about 11731.4274067566. The cubic root of 137626389 is about 516.2981533604.

The spelling of 137626389 in words is "one hundred thirty-seven million, six hundred twenty-six thousand, three hundred eighty-nine".

Divisors: 1 3 9 73 219 657 209477 628431 1885293 15291821 45875463 137626389