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12116263104 = 26321123294761
BaseRepresentation
bin10110100100010111…
…11000000011000000
31011021101212221100100
423102023320003000
5144303230404404
65322141322400
7606152352141
oct132213700300
934241787310
1012116263104
115158350890
122421866400
1311b128086a
1482d243ac8
154ada88d39
hex2d22f80c0

12116263104 has 672 divisors, whose sum is σ = 42451568640. Its totient is φ = 3264307200.

The previous prime is 12116263091. The next prime is 12116263129. The reversal of 12116263104 is 40136261121.

It is a happy number.

12116263104 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 626 + 31 + 0 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 198627234 + ... + 198627294.

Almost surely, 212116263104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225784320).

12116263104 is an abundant number, since it is smaller than the sum of its proper divisors (30335305536).

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

12116263104 is a wasteful number, since it uses less digits than its factorization.

12116263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12116263104 in words is "twelve billion, one hundred sixteen million, two hundred sixty-three thousand, one hundred four".