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445425609857481 = 321129296041524071
BaseRepresentation
bin110010101000111001011101…
…1001111111101100111001001
32011102010021100121100011212100
41211101302323033331213021
5431340323122110414411
64215201411132104013
7162551636563610001
oct14521627317754711
92142107317304770
10445425609857481
11119a20a385a75a0
1241b5a573605009
13161705bb1bb916
147bdca00a07001
153676820451456
hex1951cbb3fd9c9

445425609857481 has 48 divisors (see below), whose sum is σ = 726089471752320. Its totient is φ = 260644747104000.

The previous prime is 445425609857471. The next prime is 445425609857537. The reversal of 445425609857481 is 184758906524544.

445425609857481 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 2 + 5 + 6 + 0 + 98 + 57 + 481 = 666.

It is not a de Polignac number, because 445425609857481 - 211 = 445425609855433 is a prime.

It is a super-2 number, since 2×4454256098574812 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (445425609857411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849671676 + ... + 850195746.

It is an arithmetic number, because the mean of its divisors is an integer number (15126863994840).

Almost surely, 2445425609857481 is an apocalyptic number.

It is an amenable number.

445425609857481 is a deficient number, since it is larger than the sum of its proper divisors (280663861894839).

445425609857481 is a wasteful number, since it uses less digits than its factorization.

445425609857481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820158 (or 820155 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 445425609857481 in words is "four hundred forty-five trillion, four hundred twenty-five billion, six hundred nine million, eight hundred fifty-seven thousand, four hundred eighty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 296041 524071 888123 1572213 2664369 3256451 4716639 5764781 8585189 9769353 15198059 17294343 25755567 29308059 45594177 51883029 77266701 94437079 136782531 167178649 283311237 501535947 849933711 1504607841 155146502911 465439508733 1396318526199 1706611532021 4499248584419 5119834596063 13497745753257 15359503788189 40493237259771 49491734428609 148475203285827 445425609857481