Search a number
-
+
15666026896 = 24132292832
BaseRepresentation
bin11101001011100010…
…01001100110010000
31111102210101121211101
432211301021212100
5224041000330041
611110305154144
71063135013542
oct164561114620
944383347741
1015666026896
11670a077973
12305262b954
131628821c00
14a88877692
1561a525b31
hex3a5c49990

15666026896 has 135 divisors (see below), whose sum is σ = 34454869059. Its totient is φ = 6897037056.

The previous prime is 15666026879. The next prime is 15666026933. The reversal of 15666026896 is 69862066651.

The square root of 15666026896 is 125164.

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 2008832400 + 13657194496 = 44820^2 + 116864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188747271 + ... + 188747353.

Almost surely, 215666026896 is an apocalyptic number.

15666026896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15666026896 is the 125164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15666026896

15666026896 is an abundant number, since it is smaller than the sum of its proper divisors (18788842163).

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

15666026896 is an equidigital number, since it uses as much as digits as its factorization.

15666026896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 15666026896 in words is "fifteen billion, six hundred sixty-six million, twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 83 104 116 166 169 208 232 332 338 377 464 664 676 754 841 1079 1328 1352 1508 1682 2158 2407 2704 3016 3364 4316 4814 4901 6032 6728 6889 8632 9628 9802 10933 13456 13778 14027 17264 19256 19604 21866 27556 28054 31291 38512 39208 43732 55112 56108 62582 69803 78416 87464 89557 110224 112216 125164 139606 142129 174928 179114 199781 224432 250328 279212 284258 358228 399562 406783 500656 558424 568516 716456 799124 813566 907439 1116848 1137032 1164241 1432912 1598248 1627132 1814878 2274064 2328482 2597153 3196496 3254264 3629756 4656964 5194306 5793649 6508528 7259512 9313928 10388612 11587298 11796707 14519024 18627856 20777224 23174596 23593414 33762989 41554448 46349192 47186828 67525978 75317437 92698384 94373656 135051956 150634874 188747312 270103912 301269748 540207824 602539496 979126681 1205078992 1958253362 3916506724 7833013448 15666026896