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12307992576 = 2123112337107
BaseRepresentation
bin10110111011001110…
…10001000000000000
31011202202122210201220
423131213101000000
5200201321230301
65353150555040
7614001132165
oct133547210000
934682583656
1012307992576
1152465a4aa0
122475b08a80
131211c00559
1484a8b206c
154c080c936
hex2dd9d1000

12307992576 has 416 divisors, whose sum is σ = 38725475328. Its totient is φ = 3438673920.

The previous prime is 12307992569. The next prime is 12307992583. The reversal of 12307992576 is 67529970321.

It is an interprime number because it is at equal distance from previous prime (12307992569) and next prime (12307992583).

It is a super-2 number, since 2×123079925762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115027915 + ... + 115028021.

Almost surely, 212307992576 is an apocalyptic number.

12307992576 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 12307992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362737664).

12307992576 is an abundant number, since it is smaller than the sum of its proper divisors (26417482752).

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

12307992576 is a wasteful number, since it uses less digits than its factorization.

12307992576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 12307992576 in words is "twelve billion, three hundred seven million, nine hundred ninety-two thousand, five hundred seventy-six".