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138175480208 = 24171657306577
BaseRepresentation
bin1000000010101111100…
…1101000000110010000
3111012122200112200010002
42000223321220012100
54230440410331313
6143251004025132
712661055126423
oct2005371500620
9435580480102
10138175480208
1153666502447
12229428321a8
131005089849c
14698b1b19ba
1538da973058
hex202be68190

138175480208 has 40 divisors (see below), whose sum is σ = 283634928792. Its totient is φ = 64984301568.

The previous prime is 138175480207. The next prime is 138175480213. The reversal of 138175480208 is 802084571831.

It can be written as a sum of positive squares in 4 ways, for example, as 6296105104 + 131879375104 = 79348^2 + 363152^2 .

It is a super-2 number, since 2×1381754802082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138175480207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297416 + ... + 603992.

Almost surely, 2138175480208 is an apocalyptic number.

It is an amenable number.

138175480208 is an abundant number, since it is smaller than the sum of its proper divisors (145459448584).

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

138175480208 is a wasteful number, since it uses less digits than its factorization.

138175480208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308259 (or 308253 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 138175480208 in words is "one hundred thirty-eight billion, one hundred seventy-five million, four hundred eighty thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 1657 3314 6628 13256 26512 28169 56338 112676 225352 306577 450704 613154 1226308 2452616 4905232 5211809 10423618 20847236 41694472 83388944 507998089 1015996178 2031992356 4063984712 8127969424 8635967513 17271935026 34543870052 69087740104 138175480208