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104196776112 = 2434111319127233
BaseRepresentation
bin110000100001010011…
…1001010000010110000
3100221221122121122210000
41201002213022002300
53201343333313422
6115511202310000
710346043661242
oct1410247120260
9327848548700
10104196776112
114020a400110
121823b358300
139a97129c10
145086598092
152a9c8cdcac
hex18429ca0b0

104196776112 has 800 divisors, whose sum is σ = 377495838720. Its totient is φ = 27276963840.

The previous prime is 104196776063. The next prime is 104196776143. The reversal of 104196776112 is 211677691401.

104196776112 is a `hidden beast` number, since 10 + 4 + 19 + 6 + 7 + 7 + 611 + 2 = 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 159 ways as a sum of consecutive naturals, for example, 447196348 + ... + 447196580.

Almost surely, 2104196776112 is an apocalyptic number.

104196776112 is a gapful number since it is divisible by the number (12) 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 104196776112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188747919360).

104196776112 is an abundant number, since it is smaller than the sum of its proper divisors (273299062608).

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

104196776112 is a wasteful number, since it uses less digits than its factorization.

104196776112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 104196776112 in words is "one hundred four billion, one hundred ninety-six million, seven hundred seventy-six thousand, one hundred twelve".