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2045312762805 = 325133496261133
BaseRepresentation
bin11101110000110110001…
…001000000001110110101
321020112022100210200221100
4131300312021000032311
5232002300031402210
64203334222440313
7300524520430164
oct35606611001665
97215270720840
102045312762805
11719459808194
1229048b133099
1311ab451c1560
1470dca8953db
153830b0eb5c0
hex1dc362403b5

2045312762805 has 24 divisors (see below), whose sum is σ = 3817917158328. Its totient is φ = 1006923206016.

The previous prime is 2045312762797. The next prime is 2045312762819. The reversal of 2045312762805 is 5082672135402.

2045312762805 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 3 + 12 + 7 + 628 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138817346724 + 1906495416081 = 372582^2 + 1380759^2 .

It is not a de Polignac number, because 2045312762805 - 23 = 2045312762797 is a prime.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1748129982 + ... + 1748131151.

It is an arithmetic number, because the mean of its divisors is an integer number (159079881597).

Almost surely, 22045312762805 is an apocalyptic number.

It is an amenable number.

2045312762805 is a deficient number, since it is larger than the sum of its proper divisors (1772604395523).

2045312762805 is a wasteful number, since it uses less digits than its factorization.

2045312762805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496261157 (or 3496261154 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2045312762805 in words is "two trillion, forty-five billion, three hundred twelve million, seven hundred sixty-two thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 3496261133 10488783399 17481305665 31466350197 45451394729 52443916995 136354184187 157331750985 227256973645 409062552561 681770920935 2045312762805