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12683825824 = 2523102116879
BaseRepresentation
bin10111101000000001…
…11101001010100000
31012201221212010000211
423310000331022200
5201434024411244
65454334223504
7626213512015
oct136400751240
935657763024
1012683825824
11541976408a
12255b954b94
131271a2cca7
1488478570c
154e37ea934
hex2f403d2a0

12683825824 has 48 divisors (see below), whose sum is σ = 26084056320. Its totient is φ = 6059877120.

The previous prime is 12683825813. The next prime is 12683825867. The reversal of 12683825824 is 42852838621.

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, 743017 + ... + 759895.

It is an arithmetic number, because the mean of its divisors is an integer number (543417840).

Almost surely, 212683825824 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 12683825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042028160).

12683825824 is an abundant number, since it is smaller than the sum of its proper divisors (13400230496).

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

12683825824 is a wasteful number, since it uses less digits than its factorization.

12683825824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17925 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 49.

The spelling of 12683825824 in words is "twelve billion, six hundred eighty-three million, eight hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1021 2042 4084 8168 16336 16879 23483 32672 33758 46966 67516 93932 135032 187864 270064 375728 388217 540128 751456 776434 1552868 3105736 6211472 12422944 17233459 34466918 68933836 137867672 275735344 396369557 551470688 792739114 1585478228 3170956456 6341912912 12683825824