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45412166520 = 23325718020701
BaseRepresentation
bin101010010010110001…
…101010101101111000
311100012212000002020100
4222102301222231320
51221001003312040
632510112155400
73165233021640
oct522261525570
9140185002210
1045412166520
1118293a90936
128974538b60
134389422466
1422ab2bd520
1512abc06b30
hexa92c6ab78

45412166520 has 96 divisors (see below), whose sum is σ = 168673770720. Its totient is φ = 10379923200.

The previous prime is 45412166491. The next prime is 45412166539. The reversal of 45412166520 is 2566121454.

45412166520 is a `hidden beast` number, since 4 + 5 + 4 + 121 + 6 + 6 + 520 = 666.

45412166520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9007831 + ... + 9012870.

It is an arithmetic number, because the mean of its divisors is an integer number (1757018445).

Almost surely, 245412166520 is an apocalyptic number.

45412166520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45412166520 is an abundant number, since it is smaller than the sum of its proper divisors (123261604200).

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

45412166520 is a wasteful number, since it uses less digits than its factorization.

45412166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18020725 (or 18020718 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 45412166520 its reverse (2566121454), we get a palindrome (47978287974).

The spelling of 45412166520 in words is "forty-five billion, four hundred twelve million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 18020701 36041402 54062103 72082804 90103505 108124206 126144907 144165608 162186309 180207010 216248412 252289814 270310515 324372618 360414020 378434721 432496824 504579628 540621030 630724535 648745236 720828040 756869442 810931545 1009159256 1081242060 1135304163 1261449070 1297490472 1513738884 1621863090 1892173605 2162484120 2270608326 2522898140 3027477768 3243726180 3784347210 4541216652 5045796280 5676520815 6487452360 7568694420 9082433304 11353041630 15137388840 22706083260 45412166520