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5823264672 = 253220219669
BaseRepresentation
bin1010110110001011…
…11111011110100000
3120000211111111101100
411123011333132200
543411223432142
62401500434400
7264206635011
oct53305773640
916024444340
105823264672
112519098a35
121166248a00
1371a598b54
143d3565008
15241376b4c
hex15b17f7a0

5823264672 has 36 divisors (see below), whose sum is σ = 16559909730. Its totient is φ = 1941088128.

The previous prime is 5823264649. The next prime is 5823264679. The reversal of 5823264672 is 2764623285.

5823264672 is a `hidden beast` number, since 582 + 3 + 2 + 6 + 4 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5819248656 + 4016016 = 76284^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×58232646722 = 67820822880326535168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5823264679) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10109547 + ... + 10110122.

Almost surely, 25823264672 is an apocalyptic number.

It is an amenable number.

5823264672 is an abundant number, since it is smaller than the sum of its proper divisors (10736645058).

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

5823264672 is a wasteful number, since it uses less digits than its factorization.

5823264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20219685 (or 20219674 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5823264672 is about 76310.3182538246. The cubic root of 5823264672 is about 1799.1008546327.

The spelling of 5823264672 in words is "five billion, eight hundred twenty-three million, two hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20219669 40439338 60659007 80878676 121318014 161757352 181977021 242636028 323514704 363954042 485272056 647029408 727908084 970544112 1455816168 1941088224 2911632336 5823264672