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445613202945 = 32571791765469
BaseRepresentation
bin1100111110000001001…
…11011101111000000001
31120121012112212011100200
412133000213131320001
524300103434443240
6540413433235413
744123465504661
oct6370047357001
91517175764320
10445613202945
11161a90043939
1272442b62b69
13330375bb761
14177d40541a1
15b8d10b1930
hex67c09dde01

445613202945 has 48 divisors (see below), whose sum is σ = 793190361600. Its totient is φ = 231346926720.

The previous prime is 445613202889. The next prime is 445613202989. The reversal of 445613202945 is 549202316544.

445613202945 is a `hidden beast` number, since 4 + 4 + 5 + 613 + 2 + 0 + 29 + 4 + 5 = 666.

It is not a de Polignac number, because 445613202945 - 213 = 445613194753 is a prime.

It is a super-2 number, since 2×4456132029452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 445613202945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630330 + ... + 1135139.

It is an arithmetic number, because the mean of its divisors is an integer number (16524799200).

Almost surely, 2445613202945 is an apocalyptic number.

445613202945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445613202945 is a deficient number, since it is larger than the sum of its proper divisors (347577158655).

445613202945 is a wasteful number, since it uses less digits than its factorization.

445613202945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765630 (or 1765627 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 445613202945 in words is "four hundred forty-five billion, six hundred thirteen million, two hundred two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 71 79 213 237 355 395 639 711 1065 1185 3195 3555 5609 16827 28045 50481 84135 252405 1765469 5296407 8827345 15889221 26482035 79446105 125348299 139472051 376044897 418416153 626741495 697360255 1128134691 1255248459 1880224485 2092080765 5640673455 6276242295 9902515621 29707546863 49512578105 89122640589 148537734315 445613202945