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137706433 = 19311132069
BaseRepresentation
bin10000011010100…
…11101111000001
3100121010012201021
420031103233001
5240223101213
621355305441
73261325324
oct1015235701
9317105637
10137706433
1170805977
123a14b281
13226b63c7
14144087bb
15c151d8d
hex8353bc1

137706433 has 16 divisors (see below), whose sum is σ = 151027200. Its totient is φ = 125072640.

The previous prime is 137706431. The next prime is 137706449. The reversal of 137706433 is 334607731.

It is a cyclic number.

It is not a de Polignac number, because 137706433 - 21 = 137706431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137706431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65523 + ... + 67591.

It is an arithmetic number, because the mean of its divisors is an integer number (9439200).

Almost surely, 2137706433 is an apocalyptic number.

It is an amenable number.

137706433 is a deficient number, since it is larger than the sum of its proper divisors (13320767).

137706433 is a wasteful number, since it uses less digits than its factorization.

137706433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 137706433 is about 11734.8384309287. The cubic root of 137706433 is about 516.3982275792.

The spelling of 137706433 in words is "one hundred thirty-seven million, seven hundred six thousand, four hundred thirty-three".

Divisors: 1 19 31 113 589 2069 2147 3503 39311 64139 66557 233797 1218641 4442143 7247707 137706433