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12167197056 = 27337271849
BaseRepresentation
bin10110101010011100…
…01011000110000000
31011101221201122121000
423111032023012000
5144404300301211
65331201132000
7610341316500
oct132516130600
934357648530
1012167197056
11518407a263
12243692a000
1311bb9a50b1
14835d01a00
154b329a656
hex2d538b180

12167197056 has 192 divisors, whose sum is σ = 41773590000. Its totient is φ = 3476293632.

The previous prime is 12167197033. The next prime is 12167197111. The reversal of 12167197056 is 65079176121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133420 + ... + 205268.

Almost surely, 212167197056 is an apocalyptic number.

12167197056 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 12167197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886795000).

12167197056 is an abundant number, since it is smaller than the sum of its proper divisors (29606392944).

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

12167197056 is an equidigital number, since it uses as much as digits as its factorization.

12167197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71886 (or 71861 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12167197056 in words is "twelve billion, one hundred sixty-seven million, one hundred ninety-seven thousand, fifty-six".