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2296006806564 = 2234841812
BaseRepresentation
bin100001011010010100101…
…010111000110000100100
322010111101122212122010000
4201122110222320300210
5300104210220302224
64514434310101300
7324611121563142
oct41322452706044
98114348778100
102296006806564
11805804a92819
12310b9404a830
13138687cb5713
147d1ad530592
153eaced0d0c9
hex21694ab8c24

2296006806564 has 45 divisors (see below), whose sum is σ = 6002286626721. Its totient is φ = 765326510640.

The previous prime is 2296006806491. The next prime is 2296006806601. The reversal of 2296006806564 is 4656086006922.

It is a happy number.

The square root of 2296006806564 is 1515258.

It is a perfect power (a square), and thus also a powerful number.

2296006806564 is a `hidden beast` number, since 2 + 29 + 600 + 6 + 8 + 0 + 6 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2287178324964 + 8828481600 = 1512342^2 + 93960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2296006806564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27232554 + ... + 27316734.

Almost surely, 22296006806564 is an apocalyptic number.

2296006806564 is the 1515258-th square number.

It is an amenable number.

2296006806564 is an abundant number, since it is smaller than the sum of its proper divisors (3706279820157).

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

2296006806564 is an frugal number, since it uses more digits than its factorization.

2296006806564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168378 (or 84186 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2296006806564 in words is "two trillion, two hundred ninety-six billion, six million, eight hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 84181 168362 252543 336724 505086 757629 1010172 1515258 2272887 3030516 4545774 6818661 9091548 13637322 27274644 7086440761 14172881522 21259322283 28345763044 42518644566 63777966849 85037289132 127555933698 191333900547 255111867396 382667801094 574001701641 765335602188 1148003403282 2296006806564