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45816524537632 = 25232391204921617
BaseRepresentation
bin10100110101011011111011…
…01010110111111100100000
320000020000110101000100212121
422122231331222313330200
522001124220240201012
6241235453143234024
712436064121623362
oct1232557552677440
9200200411010777
1045816524537632
1113664751737aa2
12517b671448914
131c74630c582c4
14b45762a9ad32
15546bd62d9a07
hex29ab7dab7f20

45816524537632 has 96 divisors (see below), whose sum is σ = 94529115072000. Its totient is φ = 21817747488768.

The previous prime is 45816524537579. The next prime is 45816524537639. The reversal of 45816524537632 is 23673542561854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45816524537639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119456488 + ... + 2119478104.

It is an arithmetic number, because the mean of its divisors is an integer number (984678282000).

Almost surely, 245816524537632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45816524537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47264557536000).

45816524537632 is an abundant number, since it is smaller than the sum of its proper divisors (48712590534368).

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

45816524537632 is a wasteful number, since it uses less digits than its factorization.

45816524537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33938 (or 33930 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 61.

The spelling of 45816524537632 in words is "forty-five trillion, eight hundred sixteen billion, five hundred twenty-four million, five hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 239 368 478 736 956 1912 3824 5497 7648 10994 12049 21617 21988 24098 43234 43976 48196 86468 87952 96392 172936 175904 192784 277127 345872 385568 497191 554254 691744 994382 1108508 1988764 2217016 2879711 3977528 4434032 5166463 5759422 7955056 8868064 10332926 11518844 15910112 20665852 23037688 41331704 46075376 66233353 82663408 92150752 118828649 132466706 165326816 237657298 260463233 264933412 475314596 520926466 529866824 950629192 1041852932 1059733648 1901258384 2083705864 2119467296 3802516768 4167411728 5990654359 8334823456 11981308718 23962617436 47925234872 62250712687 95850469744 124501425374 191700939488 249002850748 498005701496 996011402992 1431766391801 1992022805984 2863532783602 5727065567204 11454131134408 22908262268816 45816524537632