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12139315776 = 26357111509
BaseRepresentation
bin10110100111000111…
…10100001001000000
31011100000021010200000
423103203310021000
5144330131101101
65324323400000
7606552324120
oct132343641100
934300233600
1012139315776
11516a366685
122429523000
1311b5c925b3
14832324c80
154b0ade486
hex2d38f4240

12139315776 has 168 divisors, whose sum is σ = 41239074240. Its totient is φ = 3468344832.

The previous prime is 12139315759. The next prime is 12139315777. The reversal of 12139315776 is 67751393121.

12139315776 is a `hidden beast` number, since 12 + 1 + 39 + 31 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (12139315777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53110 + ... + 164618.

It is an arithmetic number, because the mean of its divisors is an integer number (245470680).

Almost surely, 212139315776 is an apocalyptic number.

12139315776 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 12139315776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20619537120).

12139315776 is an abundant number, since it is smaller than the sum of its proper divisors (29099758464).

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

12139315776 is an equidigital number, since it uses as much as digits as its factorization.

12139315776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111543 (or 111521 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 12139315776 in words is "twelve billion, one hundred thirty-nine million, three hundred fifteen thousand, seven hundred seventy-six".