Search a number
-
+
15789430336 = 2611321392
BaseRepresentation
bin11101011010001111…
…11001011001000000
31111202101121011112011
432231013321121000
5224314043232321
611130434142304
71066163641411
oct165507713100
944671534464
1015789430336
1167727a3789
123087a21994
13164826acb4
14a9addb808
1562629eae1
hex3ad1f9640

15789430336 has 63 divisors (see below), whose sum is σ = 31840940001. Its totient is φ = 7768556544.

The previous prime is 15789430309. The next prime is 15789430351. The reversal of 15789430336 is 63303498751.

The square root of 15789430336 is 125656.

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

15789430336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 278222400 + 15511207936 = 16680^2 + 124544^2 .

It is a super-2 number, since 2×157894303362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15789430336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113592955 + ... + 113593093.

Almost surely, 215789430336 is an apocalyptic number.

15789430336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15789430336 is the 125656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15789430336

15789430336 is an abundant number, since it is smaller than the sum of its proper divisors (16051509665).

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

15789430336 is an frugal number, since it uses more digits than its factorization.

15789430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 15789430336 by its sum of digits (49), we get a square (773682086464 = 8795922).

The spelling of 15789430336 in words is "fifteen billion, seven hundred eighty-nine million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 139 226 278 452 556 904 1112 1808 2224 3616 4448 7232 8896 12769 15707 19321 25538 31414 38642 51076 62828 77284 102152 125656 154568 204304 251312 309136 408608 502624 618272 817216 1005248 1236544 1774891 2183273 3549782 4366546 7099564 8733092 14199128 17466184 28398256 34932368 56796512 69864736 113593024 139729472 246709849 493419698 986839396 1973678792 3947357584 7894715168 15789430336