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45120104865 = 33511291047721
BaseRepresentation
bin101010000001010111…
…100010100110100001
311022110111102210222000
4222001113202212201
51214401221323430
632421120234213
73155055364143
oct520127424641
9138414383860
1045120104865
1118154139670
1288b276b969
134340a73a04
1422805b4c93
151291264e60
hexa815e29a1

45120104865 has 64 divisors (see below), whose sum is σ = 90523180800. Its totient is φ = 21122035200.

The previous prime is 45120104851. The next prime is 45120104873. The reversal of 45120104865 is 56840102154.

It is a happy number.

45120104865 is a `hidden beast` number, since 45 + 120 + 10 + 486 + 5 = 666.

It is not a de Polignac number, because 45120104865 - 216 = 45120039329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480796 + ... + 566925.

It is an arithmetic number, because the mean of its divisors is an integer number (1414424700).

Almost surely, 245120104865 is an apocalyptic number.

45120104865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45120104865 is an abundant number, since it is smaller than the sum of its proper divisors (45403075935).

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

45120104865 is a wasteful number, since it uses less digits than its factorization.

45120104865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047775 (or 1047769 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45120104865 in words is "forty-five billion, one hundred twenty million, one hundred four thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3915 4785 8613 14355 43065 1047721 3143163 5238605 9429489 11524931 15715815 28288467 30383909 34574793 47147445 57624655 91151727 103724379 141442335 151919545 172873965 273455181 311173137 334222999 455758635 518621895 820365543 1002668997 1367275905 1555865685 1671114995 3008006991 4101827715 5013344985 9024020973 15040034955 45120104865