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45610306512 = 24319262119081
BaseRepresentation
bin101010011110100101…
…100000101111010000
311100201122211122012120
4222132211200233100
51221402214302022
632541511054240
73203160131361
oct523645405720
9140648748176
1045610306512
11183859133a1
128a0a971380
1343bb4a7c64
1422c9739b68
1512be2e4d5c
hexa9e960bd0

45610306512 has 80 divisors (see below), whose sum is σ = 124081849920. Its totient is φ = 14397004800.

The previous prime is 45610306499. The next prime is 45610306543. The reversal of 45610306512 is 21560301654.

It is a super-2 number, since 2×456103065122 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2380812 + ... + 2399892.

It is an arithmetic number, because the mean of its divisors is an integer number (1551023124).

Almost surely, 245610306512 is an apocalyptic number.

It is an amenable number.

45610306512 is an abundant number, since it is smaller than the sum of its proper divisors (78471543408).

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

45610306512 is a wasteful number, since it uses less digits than its factorization.

45610306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21732 (or 21726 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 45610306512 in words is "forty-five billion, six hundred ten million, three hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2621 5242 7863 10484 15726 19081 20968 31452 38162 41936 49799 57243 62904 76324 99598 114486 125808 149397 152648 199196 228972 298794 305296 362539 398392 457944 597588 725078 796784 915888 1087617 1195176 1450156 2175234 2390352 2900312 4350468 5800624 8700936 17401872 50011301 100022602 150033903 200045204 300067806 400090408 600135612 800180816 950214719 1200271224 1900429438 2400542448 2850644157 3800858876 5701288314 7601717752 11402576628 15203435504 22805153256 45610306512