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18416960973 = 326134139829
BaseRepresentation
bin10001001001101111…
…001000010111001101
31202112111202112221200
4101021233020113031
5300204220222343
612243255220113
71221250404525
oct211157102715
952474675850
1018416960973
1178a0992404
12369b977639
13197672cc58
14c69d68685
1572bcbc4d3
hex449bc85cd

18416960973 has 24 divisors (see below), whose sum is σ = 27049053720. Its totient is φ = 12071928960.

The previous prime is 18416960957. The next prime is 18416960977. The reversal of 18416960973 is 37906961481.

18416960973 is a `hidden beast` number, since 18 + 4 + 16 + 9 + 609 + 7 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5941634724 + 12475326249 = 77082^2 + 111693^2 .

It is not a de Polignac number, because 18416960973 - 24 = 18416960957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18416960977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1868823 + ... + 1878651.

It is an arithmetic number, because the mean of its divisors is an integer number (1127043905).

Almost surely, 218416960973 is an apocalyptic number.

It is an amenable number.

18416960973 is a deficient number, since it is larger than the sum of its proper divisors (8632092747).

18416960973 is a wasteful number, since it uses less digits than its factorization.

18416960973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 18416960973 in words is "eighteen billion, four hundred sixteen million, nine hundred sixty thousand, nine hundred seventy-three".

Divisors: 1 3 9 61 183 549 3413 9829 10239 29487 30717 88461 208193 599569 624579 1798707 1873737 5396121 33546377 100639131 301917393 2046328997 6138986991 18416960973