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5108216337 = 3274376389
BaseRepresentation
bin1001100000111100…
…10011001000010001
3111012000000021110200
410300132103020101
540430200410322
62202514445413
7240405060000
oct46036231021
914160007420
105108216337
1121915005a4
12ba6893869
136353bb123
143665d0c37
151ed6d08ac
hex130793211

5108216337 has 60 divisors (see below), whose sum is σ = 8841804660. Its totient is φ = 2839644864.

The previous prime is 5108216317. The next prime is 5108216353. The reversal of 5108216337 is 7336128015.

5108216337 is a `hidden beast` number, since 5 + 10 + 8 + 2 + 1 + 633 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1855111041 + 3253105296 = 43071^2 + 57036^2 .

It is not a de Polignac number, because 5108216337 - 219 = 5107692049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5108216317) 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 59 ways as a sum of consecutive naturals, for example, 796339 + ... + 802727.

It is an arithmetic number, because the mean of its divisors is an integer number (147363411).

Almost surely, 25108216337 is an apocalyptic number.

It is an amenable number.

5108216337 is a deficient number, since it is larger than the sum of its proper divisors (3733588323).

5108216337 is an equidigital number, since it uses as much as digits as its factorization.

5108216337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5108216337 is about 71471.7870001863. The cubic root of 5108216337 is about 1722.2244898684.

It can be divided in two parts, 5108 and 216337, that added together give a triangular number (221445 = T665).

The spelling of 5108216337 in words is "five billion, one hundred eight million, two hundred sixteen thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 343 441 777 1029 1813 2331 2401 3087 5439 6389 7203 12691 16317 19167 21609 38073 44723 57501 88837 114219 134169 236393 266511 313061 402507 709179 799533 939183 1654751 2127537 2191427 2817549 4964253 6574281 11583257 14892759 15339989 19722843 34749771 46019967 81082799 104249313 138059901 243248397 567579593 729745191 1702738779 5108216337