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12053608896 = 2637231492617
BaseRepresentation
bin10110011100111001…
…10111100111000000
31011010000222202221010
423032130313213000
5144141210441041
65312022400520
7604461661620
oct131634674700
934100882833
1012053608896
115125a4784a
122404890140
1311a12b4774
14824bb4880
154a830ea16
hex2ce7379c0

12053608896 has 224 divisors, whose sum is σ = 38302387200. Its totient is φ = 3270795264.

The previous prime is 12053608871. The next prime is 12053608969. The reversal of 12053608896 is 69880635021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604580 + ... + 4607196.

It is an arithmetic number, because the mean of its divisors is an integer number (170992800).

Almost surely, 212053608896 is an apocalyptic number.

12053608896 is a gapful number since it is divisible by the number (16) 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 12053608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151193600).

12053608896 is an abundant number, since it is smaller than the sum of its proper divisors (26248778304).

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

12053608896 is a wasteful number, since it uses less digits than its factorization.

12053608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 12053608896 in words is "twelve billion, fifty-three million, six hundred eight thousand, eight hundred ninety-six".