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12445991168 = 28137947339
BaseRepresentation
bin10111001011101011…
…01100000100000000
31012010101022212012212
423211311230010000
5200442133204133
65415000441252
7620265115352
oct134565540400
935111285185
1012445991168
11530748a416
1224b4179228
131234689920
14860d550d2
154cc9bb148
hex2e5d6c100

12445991168 has 72 divisors (see below), whose sum is σ = 27093628800. Its totient is φ = 5671471104.

The previous prime is 12445991149. The next prime is 12445991191. The reversal of 12445991168 is 86119954421.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239243 + ... + 286581.

It is an arithmetic number, because the mean of its divisors is an integer number (376300400).

Almost surely, 212445991168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546814400).

12445991168 is an abundant number, since it is smaller than the sum of its proper divisors (14647637632).

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

12445991168 is an equidigital number, since it uses as much as digits as its factorization.

12445991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47447 (or 47433 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The spelling of 12445991168 in words is "twelve billion, four hundred forty-five million, nine hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 632 832 1027 1264 1664 2054 2528 3328 4108 5056 8216 10112 16432 20224 32864 47339 65728 94678 131456 189356 262912 378712 615407 757424 1230814 1514848 2461628 3029696 3739781 4923256 6059392 7479562 9846512 12118784 14959124 19693024 29918248 39386048 48617153 59836496 78772096 97234306 119672992 157544192 194468612 239345984 388937224 478691968 777874448 957383936 1555748896 3111497792 6222995584 12445991168