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71564207445 = 3255330005957
BaseRepresentation
bin100001010100110001…
…1110010010101010101
320211201102200102002200
41002221203302111111
52133030414114240
652513125155113
75112266504133
oct1025143622525
9224642612080
1071564207445
11283941472a5
1211a5285ba99
13699652a9a3
14366c670753
151cdcade930
hex10a98f2555

71564207445 has 24 divisors (see below), whose sum is σ = 126385095096. Its totient is φ = 37447433088.

The previous prime is 71564207443. The next prime is 71564207537. The reversal of 71564207445 is 54470246517.

71564207445 is a `hidden beast` number, since 7 + 156 + 420 + 74 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21346086609 + 50218120836 = 146103^2 + 224094^2 .

It is not a de Polignac number, because 71564207445 - 21 = 71564207443 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71564207445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71564207443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15000594 + ... + 15005363.

It is an arithmetic number, because the mean of its divisors is an integer number (5266045629).

Almost surely, 271564207445 is an apocalyptic number.

It is an amenable number.

71564207445 is a deficient number, since it is larger than the sum of its proper divisors (54820887651).

71564207445 is a wasteful number, since it uses less digits than its factorization.

71564207445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30006021 (or 30006018 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 71564207445 in words is "seventy-one billion, five hundred sixty-four million, two hundred seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 30005957 90017871 150029785 270053613 450089355 1350268065 1590315721 4770947163 7951578605 14312841489 23854735815 71564207445