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12604045752 = 23321753972003
BaseRepresentation
bin10111011110100001…
…00111100110111000
31012112101201212100100
423233100213212320
5201303113431002
65442404235400
7624224423034
oct135720474670
935471655310
1012604045752
115388723141
12253909bb60
13125b348a4c
14877d391c4
154db7dc11c
hex2ef4279b8

12604045752 has 192 divisors, whose sum is σ = 37224139680. Its totient is φ = 3837689856.

The previous prime is 12604045703. The next prime is 12604045781. The reversal of 12604045752 is 25754040621.

It is a happy number.

12604045752 is a `hidden beast` number, since 1 + 2 + 604 + 0 + 45 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6291583 + ... + 6293585.

Almost surely, 212604045752 is an apocalyptic number.

12604045752 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 12604045752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612069840).

12604045752 is an abundant number, since it is smaller than the sum of its proper divisors (24620093928).

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

12604045752 is a wasteful number, since it uses less digits than its factorization.

12604045752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12604045752 in words is "twelve billion, six hundred four million, forty-five thousand, seven hundred fifty-two".