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138837033 = 32137112601
BaseRepresentation
bin10000100011001…
…11110000101001
3100200020122121100
420101213300221
5241020241113
621435432013
73304044456
oct1021476051
9320218540
10138837033
1171408355
123a5b5609
13229c0bba
141462082d
15c2c6d73
hex8467c29

138837033 has 12 divisors (see below), whose sum is σ = 202007988. Its totient is φ = 91881600.

The previous prime is 138837019. The next prime is 138837053. The reversal of 138837033 is 330738831.

It can be written as a sum of positive squares in 2 ways, for example, as 87385104 + 51451929 = 9348^2 + 7173^2 .

It is not a de Polignac number, because 138837033 - 28 = 138836777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138837053) 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, 55068 + ... + 57533.

It is an arithmetic number, because the mean of its divisors is an integer number (16833999).

Almost surely, 2138837033 is an apocalyptic number.

It is an amenable number.

138837033 is a deficient number, since it is larger than the sum of its proper divisors (63170955).

138837033 is a wasteful number, since it uses less digits than its factorization.

138837033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112744 (or 112741 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 138837033 is about 11782.9127553419. The cubic root of 138837033 is about 517.8076249813.

The spelling of 138837033 in words is "one hundred thirty-eight million, eight hundred thirty-seven thousand, thirty-three".

Divisors: 1 3 9 137 411 1233 112601 337803 1013409 15426337 46279011 138837033