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1638068103 = 3672911069
BaseRepresentation
bin110000110100010…
…1110111110000111
311020011022111000000
41201220232332013
511323321134403
6430313252343
755410230520
oct14150567607
94204274000
101638068103
117707128a1
123987040b3
132014a4189
141177a3847
1598c1d7a3
hex61a2ef87

1638068103 has 56 divisors (see below), whose sum is σ = 2903882400. Its totient is φ = 903680064.

The previous prime is 1638068087. The next prime is 1638068129. The reversal of 1638068103 is 3018608361.

1638068103 is a `hidden beast` number, since 1 + 638 + 0 + 6 + 8 + 10 + 3 = 666.

It is not a de Polignac number, because 1638068103 - 24 = 1638068087 is a prime.

It is a super-2 number, since 2×16380681032 = 5366534220132037218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638068183) 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 55 ways as a sum of consecutive naturals, for example, 142453 + ... + 153521.

Almost surely, 21638068103 is an apocalyptic number.

1638068103 is a deficient number, since it is larger than the sum of its proper divisors (1265814297).

1638068103 is an equidigital number, since it uses as much as digits as its factorization.

1638068103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123 (or 11108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1638068103 is about 40473.0540359879. The cubic root of 1638068103 is about 1178.8104700874.

The spelling of 1638068103 in words is "one billion, six hundred thirty-eight million, sixty-eight thousand, one hundred three".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 243 261 567 609 729 783 1701 1827 2349 5103 5481 7047 11069 16443 21141 33207 49329 77483 99621 147987 232449 298863 321001 697347 896589 963003 2092041 2247007 2689767 2889009 6276123 6741021 8069301 8667027 18828369 20223063 26001081 56485107 60669189 78003243 182007567 234009729 546022701 1638068103