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12832127208 = 2332293608273
BaseRepresentation
bin10111111001101101…
…01011100011101000
31020010021220121021200
423330312223203220
5202240011032313
65521153004200
7632664165405
oct137466534350
936107817250
1012832127208
11549544610a
1225a1553660
1312966859a4
1489a34b2ac
15501841b73
hex2fcdab8e8

12832127208 has 48 divisors (see below), whose sum is σ = 34872348420. Its totient is φ = 4262770176.

The previous prime is 12832127207. The next prime is 12832127219. The reversal of 12832127208 is 80272123821.

12832127208 is a `hidden beast` number, since 128 + 321 + 2 + 7 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12809259684 + 22867524 = 113178^2 + 4782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12832127207) 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, 283041 + ... + 325232.

Almost surely, 212832127208 is an apocalyptic number.

12832127208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12832127208 is an abundant number, since it is smaller than the sum of its proper divisors (22040221212).

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

12832127208 is a wasteful number, since it uses less digits than its factorization.

12832127208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608578 (or 608571 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12832127208 in words is "twelve billion, eight hundred thirty-two million, one hundred twenty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 608273 1216546 1824819 2433092 3649638 4866184 5474457 7299276 10948914 14598552 21897828 43795656 178223989 356447978 534671967 712895956 1069343934 1425791912 1604015901 2138687868 3208031802 4277375736 6416063604 12832127208