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5301752617 = 72176364649
BaseRepresentation
bin1001111000000001…
…00101001100101001
3111200111011221100001
410330000211030221
541324222040432
62234030543001
7245245103500
oct47400451451
914614157301
105301752617
112280779237
12103b667a61
13666521335
143841ad837
152106ae9e7
hex13c025329

5301752617 has 12 divisors (see below), whose sum is σ = 6530130900. Its totient is φ = 4277043456.

The previous prime is 5301752593. The next prime is 5301752641. The reversal of 5301752617 is 7162571035.

It is an interprime number because it is at equal distance from previous prime (5301752593) and next prime (5301752641).

It can be written as a sum of positive squares in 2 ways, for example, as 2283788521 + 3017964096 = 47789^2 + 54936^2 .

It is not a de Polignac number, because 5301752617 - 219 = 5301228329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5301758617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3181492 + ... + 3183157.

It is an arithmetic number, because the mean of its divisors is an integer number (544177575).

Almost surely, 25301752617 is an apocalyptic number.

It is an amenable number.

5301752617 is a deficient number, since it is larger than the sum of its proper divisors (1228378283).

5301752617 is a wasteful number, since it uses less digits than its factorization.

5301752617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364680 (or 6364673 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 5301752617 is about 72813.1349208369. The cubic root of 5301752617 is about 1743.7055631812.

The spelling of 5301752617 in words is "five billion, three hundred one million, seven hundred fifty-two thousand, six hundred seventeen".

Divisors: 1 7 17 49 119 833 6364649 44552543 108199033 311867801 757393231 5301752617