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12092458656 = 2532341223599
BaseRepresentation
bin10110100001100010…
…00100011010100000
31011012202002112210010
423100301010122200
5144231132134111
65315531204520
7605443126335
oct132061043240
934182075703
1012092458656
115145972193
1224158a6740
1311a93678a5
1482a00898c
154ab935aa6
hex2d0c446a0

12092458656 has 192 divisors, whose sum is σ = 34139750400. Its totient is φ = 3738408960.

The previous prime is 12092458603. The next prime is 12092458673. The reversal of 12092458656 is 65685429021.

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

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, 20187445 + ... + 20188043.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 212092458656 is an apocalyptic number.

12092458656 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 12092458656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069875200).

12092458656 is an abundant number, since it is smaller than the sum of its proper divisors (22047291744).

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

12092458656 is a wasteful number, since it uses less digits than its factorization.

12092458656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 12092458656 in words is "twelve billion, ninety-two million, four hundred fifty-eight thousand, six hundred fifty-six".