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15093105316 = 22192532612
BaseRepresentation
bin11100000111001111…
…01000001010100100
31102221212100012011121
432003213220022210
5221402313332231
610533401343324
71043010164332
oct160347501244
942855305147
1015093105316
116445734463
122b12797b44
131566c17563
14a3273cb52
155d50a6311
hex3839e82a4

15093105316 has 81 divisors (see below), whose sum is σ = 28885554243. Its totient is φ = 6899480640.

The previous prime is 15093105301. The next prime is 15093105319. The reversal of 15093105316 is 61350139051.

It is a happy number.

The square root of 15093105316 is 122854.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2027700900 + 13065404416 = 45030^2 + 114304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15093105319) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247427926 + ... + 247427986.

Almost surely, 215093105316 is an apocalyptic number.

15093105316 is the 122854-th square number.

It is an amenable number.

15093105316 is a deficient number, since it is larger than the sum of its proper divisors (13792448927).

15093105316 is an equidigital number, since it uses as much as digits as its factorization.

15093105316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

It can be divided in two parts, 15093 and 105316, that added together give a square (120409 = 3472).

The spelling of 15093105316 in words is "fifteen billion, ninety-three million, one hundred five thousand, three hundred sixteen".

Divisors: 1 2 4 19 38 53 61 76 106 122 212 244 361 722 1007 1159 1444 2014 2318 2809 3233 3721 4028 4636 5618 6466 7442 11236 12932 14884 19133 22021 38266 44042 53371 61427 70699 76532 88084 106742 122854 141398 171349 197213 213484 245708 282796 342698 394426 685396 788852 1014049 1167113 1343281 2028098 2334226 2686562 3255631 3747047 4056196 4668452 5373124 6511262 7494094 10452289 13022524 14988188 20904578 41809156 61856989 71193893 123713978 142387786 198593491 247427956 284775572 397186982 794373964 3773276329 7546552658 15093105316