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138338178464 = 2529149071313
BaseRepresentation
bin1000000011010110011…
…0010001010110100000
3111020002000200121011102
42000311212101112200
54231304033202324
6143315055133532
712665102054363
oct2006546212640
9436060617142
10138338178464
115373a328012
12229892142a8
13100784c2145
1469a4a440da
1538e9daedae
hex20359915a0

138338178464 has 24 divisors (see below), whose sum is σ = 281744783460. Its totient is φ = 66783947776.

The previous prime is 138338178439. The next prime is 138338178481. The reversal of 138338178464 is 464871833831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134556912400 + 3781266064 = 366820^2 + 61492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74534729 + ... + 74536584.

Almost surely, 2138338178464 is an apocalyptic number.

It is an amenable number.

138338178464 is an abundant number, since it is smaller than the sum of its proper divisors (143406604996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138338178464 is a wasteful number, since it uses less digits than its factorization.

138338178464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149071352 (or 149071344 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 138338178464 in words is "one hundred thirty-eight billion, three hundred thirty-eight million, one hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 149071313 298142626 596285252 1192570504 2385141008 4323068077 4770282016 8646136154 17292272308 34584544616 69169089232 138338178464