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137663029 = 7292233041
BaseRepresentation
bin10000011010010…
…01001000110101
3100121001000011201
420031021020311
5240220204104
621354332501
73261054640
oct1015111065
9317030151
10137663029
11707862a9
123a12a131
132269c71a
14143d6a57
15c1440a4
hex8349235

137663029 has 16 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 113379840.

The previous prime is 137663023. The next prime is 137663039. The reversal of 137663029 is 920366731.

It is not a de Polignac number, because 137663029 - 23 = 137663021 is a prime.

It is a super-2 number, since 2×1376630292 = 37902219106909682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137663021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43749 + ... + 46789.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 2137663029 is an apocalyptic number.

It is an amenable number.

137663029 is a deficient number, since it is larger than the sum of its proper divisors (25874891).

137663029 is a wasteful number, since it uses less digits than its factorization.

137663029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300.

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 137663029 is about 11732.9889201345. The cubic root of 137663029 is about 516.3439669721.

The spelling of 137663029 in words is "one hundred thirty-seven million, six hundred sixty-three thousand, twenty-nine".

Divisors: 1 7 29 203 223 1561 3041 6467 21287 45269 88189 617323 678143 4747001 19666147 137663029