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100047666681 = 3212792939419
BaseRepresentation
bin101110100101101001…
…1100011110111111001
3100120020111100001122100
41131023103203313321
53114344200313211
6113543344414013
710141163064264
oct1351323436771
9316214301570
10100047666681
1139480332856
1217481917309
13958565ba91
144bb150bcdb
152908503156
hex174b4e3df9

100047666681 has 24 divisors (see below), whose sum is σ = 145682334720. Its totient is φ = 66159114336.

The previous prime is 100047666647. The next prime is 100047666683. The reversal of 100047666681 is 186666740001.

It is not a de Polignac number, because 100047666681 - 218 = 100047404537 is a prime.

It is a super-2 number, since 2×1000476666812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100047666683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10617190 + ... + 10626608.

It is an arithmetic number, because the mean of its divisors is an integer number (6070097280).

Almost surely, 2100047666681 is an apocalyptic number.

It is an amenable number.

100047666681 is a deficient number, since it is larger than the sum of its proper divisors (45634668039).

100047666681 is a wasteful number, since it uses less digits than its factorization.

100047666681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18845 (or 18842 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100047666681 in words is "one hundred billion, forty-seven million, six hundred sixty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 127 381 1143 9293 9419 27879 28257 83637 84771 1180211 1196213 3540633 3588639 10621899 10765917 87530767 262592301 787776903 11116407409 33349222227 100047666681