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12932375472 = 24324119711119
BaseRepresentation
bin11000000101101010…
…00110001110110000
31020101021112202001100
430002311012032300
5202441142003342
65535133404400
7635322243402
oct140265061660
936337482040
1012932375472
115536a97115
12260b039700
1312b13854a3
148a97a4b72
1550a544e4c
hex302d463b0

12932375472 has 120 divisors (see below), whose sum is σ = 37266989760. Its totient is φ = 4183925760.

The previous prime is 12932375471. The next prime is 12932375503. The reversal of 12932375472 is 27457323921.

12932375472 is a `hidden beast` number, since 1 + 2 + 93 + 23 + 75 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (12932375471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157529 + ... + 1168647.

It is an arithmetic number, because the mean of its divisors is an integer number (310558248).

Almost surely, 212932375472 is an apocalyptic number.

12932375472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12932375472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633494880).

12932375472 is an abundant number, since it is smaller than the sum of its proper divisors (24334614288).

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

12932375472 is a wasteful number, since it uses less digits than its factorization.

12932375472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11371 (or 11362 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 12932375472 in words is "twelve billion, nine hundred thirty-two million, three hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 197 246 328 369 394 492 591 656 738 788 984 1182 1476 1576 1773 1968 2364 2952 3152 3546 4728 5904 7092 8077 9456 11119 14184 16154 22238 24231 28368 32308 33357 44476 48462 64616 66714 72693 88952 96924 100071 129232 133428 145386 177904 193848 200142 266856 290772 387696 400284 455879 533712 581544 800568 911758 1163088 1367637 1601136 1823516 2190443 2735274 3647032 4102911 4380886 5470548 6571329 7294064 8205822 8761772 10941096 13142658 16411644 17523544 19713987 21882192 26285316 32823288 35047088 39427974 52570632 65646576 78855948 89808163 105141264 157711896 179616326 269424489 315423792 359232652 538848978 718465304 808273467 1077697956 1436930608 1616546934 2155395912 3233093868 4310791824 6466187736 12932375472