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107112805578 = 2327793763597
BaseRepresentation
bin110001111000001101…
…0111011010011001010
3101020110212122022012100
41203300122323103022
53223331334234303
6121112411054230
710511232553002
oct1436032732312
9336425568170
10107112805578
1141476428219
1218913a41376
13a1402c0a3c
145281983002
152bbd8d78a3
hex18f06bb4ca

107112805578 has 24 divisors (see below), whose sum is σ = 232107829668. Its totient is φ = 35699640192.

The previous prime is 107112805549. The next prime is 107112805601. The reversal of 107112805578 is 875508211701.

107112805578 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 12 + 80 + 557 + 8 = 666.

107112805578 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106813273329 + 299532249 = 326823^2 + 17307^2 .

It is a super-2 number, since 2×1071128055782 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241525 + ... + 522072.

Almost surely, 2107112805578 is an apocalyptic number.

107112805578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107112805578 is an abundant number, since it is smaller than the sum of its proper divisors (124995024090).

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

107112805578 is a wasteful number, since it uses less digits than its factorization.

107112805578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771398 (or 771395 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 45.

The spelling of 107112805578 in words is "one hundred seven billion, one hundred twelve million, eight hundred five thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 7793 15586 23379 46758 70137 140274 763597 1527194 2290791 4581582 6872373 13744746 5950711421 11901422842 17852134263 35704268526 53556402789 107112805578