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5168584125 = 325347239409
BaseRepresentation
bin1001101000001001…
…00101010110111101
3111100012121021111200
410310010211112331
541041124143000
62212512410113
7242040145245
oct46404452675
914305537450
105168584125
112212592831
121002b46939
13644a66603
14370626b25
15203b57500
hex1341255bd

5168584125 has 96 divisors (see below), whose sum is σ = 9578649600. Its totient is φ = 2680070400.

The previous prime is 5168584121. The next prime is 5168584129. The reversal of 5168584125 is 5214858615.

5168584125 is a `hidden beast` number, since 5 + 1 + 68 + 584 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5168584121) and next prime (5168584129).

It is not a de Polignac number, because 5168584125 - 22 = 5168584121 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168584121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12636921 + ... + 12637329.

It is an arithmetic number, because the mean of its divisors is an integer number (99777600).

Almost surely, 25168584125 is an apocalyptic number.

It is an amenable number.

5168584125 is a deficient number, since it is larger than the sum of its proper divisors (4410065475).

5168584125 is a wasteful number, since it uses less digits than its factorization.

5168584125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 5168584125 is about 71892.8656057053. The cubic root of 5168584125 is about 1728.9822301630.

The spelling of 5168584125 in words is "five billion, one hundred sixty-eight million, five hundred eighty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 125 141 225 235 239 375 409 423 705 717 1125 1175 1195 1227 2045 2115 2151 3525 3585 3681 5875 5975 6135 10225 10575 10755 11233 17625 17925 18405 19223 29875 30675 33699 51125 52875 53775 56165 57669 89625 92025 96115 97751 101097 153375 168495 173007 268875 280825 288345 293253 460125 480575 488755 505485 842475 865035 879759 1404125 1441725 1466265 2402875 2443775 2527425 4212375 4325175 4398795 4594297 7208625 7331325 12218875 12637125 13782891 21625875 21993975 22971485 36656625 41348673 68914455 109969875 114857425 206743365 344572275 574287125 1033716825 1722861375 5168584125