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45148135806 = 23319401910949
BaseRepresentation
bin101010000011000010…
…011110000101111110
311022112110011221012000
4222003002132011332
51214430410321211
632424001123130
73155545552044
oct520302360576
9138473157160
1045148135806
1118168a44734
1289000294a6
134346809677
1422841d0394
151293950656
hexa8309e17e

45148135806 has 64 divisors (see below), whose sum is σ = 105645600000. Its totient is φ = 14252456736.

The previous prime is 45148135741. The next prime is 45148135811. The reversal of 45148135806 is 60853184154.

45148135806 is a `hidden beast` number, since 4 + 51 + 4 + 8 + 13 + 580 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4118020 + ... + 4128968.

It is an arithmetic number, because the mean of its divisors is an integer number (1650712500).

Almost surely, 245148135806 is an apocalyptic number.

45148135806 is an abundant number, since it is smaller than the sum of its proper divisors (60497464194).

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

45148135806 is a wasteful number, since it uses less digits than its factorization.

45148135806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45148135806 in words is "forty-five billion, one hundred forty-eight million, one hundred thirty-five thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 4019 8038 10949 12057 21898 24114 32847 36171 65694 72342 76361 98541 108513 152722 197082 208031 217026 229083 295623 416062 458166 591246 624093 687249 1248186 1374498 1872279 2061747 3744558 4123494 5616837 11233674 44004031 88008062 132012093 264024186 396036279 792072558 836076589 1188108837 1672153178 2376217674 2508229767 5016459534 7524689301 15049378602 22574067903 45148135806