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12198484656 = 2434411731327
BaseRepresentation
bin10110101110001011…
…00001101010110000
31011111010121020010000
423113011201222300
5144440303002111
65334235510000
7611201260131
oct132705415260
934433536100
1012198484656
11519a7aa086
1224452b8300
1311c530b177
1483a127c88
154b5dcac56
hex2d7161ab0

12198484656 has 200 divisors, whose sum is σ = 36403545024. Its totient is φ = 3941084160.

The previous prime is 12198484621. The next prime is 12198484681. The reversal of 12198484656 is 65648489121.

12198484656 is a `hidden beast` number, since 1 + 21 + 98 + 484 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9191865 + ... + 9193191.

Almost surely, 212198484656 is an apocalyptic number.

12198484656 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 12198484656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201772512).

12198484656 is an abundant number, since it is smaller than the sum of its proper divisors (24205060368).

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

12198484656 is a wasteful number, since it uses less digits than its factorization.

12198484656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12198484656 in words is "twelve billion, one hundred ninety-eight million, four hundred eighty-four thousand, six hundred fifty-six".