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12452153868 = 22337114731859
BaseRepresentation
bin10111001100011010…
…01100101000001100
31012010210220221212000
423212031030220030
5201000222410433
65415340512300
7620401363410
oct134615145014
935123827760
1012452153868
11530aa09560
1224b624b690
131235a369ab
14861abad40
154cd2d7113
hex2e634ca0c

12452153868 has 192 divisors, whose sum is σ = 41107046400. Its totient is φ = 3165410880.

The previous prime is 12452153837. The next prime is 12452153887. The reversal of 12452153868 is 86835125421.

12452153868 is a `hidden beast` number, since 1 + 2 + 4 + 52 + 1 + 538 + 68 = 666.

It is a super-2 number, since 2×124521538682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374923 + ... + 406781.

It is an arithmetic number, because the mean of its divisors is an integer number (214099200).

Almost surely, 212452153868 is an apocalyptic number.

12452153868 is a gapful number since it is divisible by the number (18) 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 12452153868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553523200).

12452153868 is an abundant number, since it is smaller than the sum of its proper divisors (28654892532).

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

12452153868 is a wasteful number, since it uses less digits than its factorization.

12452153868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31937 (or 31929 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 12452153868 in words is "twelve billion, four hundred fifty-two million, one hundred fifty-three thousand, eight hundred sixty-eight".