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5175812576 = 2511313311433
BaseRepresentation
bin1001101001000000…
…01010000111100000
3111100201012112002002
410310200022013200
541100002000301
62213331343132
7242155452404
oct46440120740
914321175062
105175812576
11221667a660
121005451aa8
136463c77bc
14371589104
152045d416b
hex13480a1e0

5175812576 has 96 divisors (see below), whose sum is σ = 11517520896. Its totient is φ = 2268288000.

The previous prime is 5175812557. The next prime is 5175812597. The reversal of 5175812576 is 6752185715.

It is a self number, because there is not a number n which added to its sum of digits gives 5175812576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3611156 + ... + 3612588.

It is an arithmetic number, because the mean of its divisors is an integer number (119974176).

Almost surely, 25175812576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175812576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758760448).

5175812576 is an abundant number, since it is smaller than the sum of its proper divisors (6341708320).

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

5175812576 is a wasteful number, since it uses less digits than its factorization.

5175812576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its digits is 588000, while the sum is 47.

The square root of 5175812576 is about 71943.1204216220. The cubic root of 5175812576 is about 1729.7878693422.

The spelling of 5175812576 in words is "five billion, one hundred seventy-five million, eight hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 331 341 352 496 662 682 992 1324 1364 1433 2648 2728 2866 3641 5296 5456 5732 7282 10261 10592 10912 11464 14564 15763 20522 22928 29128 31526 41044 44423 45856 58256 63052 82088 88846 112871 116512 126104 164176 177692 225742 252208 328352 355384 451484 474323 488653 504416 710768 902968 948646 977306 1421536 1805936 1897292 1954612 3611872 3794584 3909224 5217553 7589168 7818448 10435106 14704013 15178336 15636896 20870212 29408026 41740424 58816052 83480848 117632104 161744143 166961696 235264208 323488286 470528416 646976572 1293953144 2587906288 5175812576