Search a number
-
+
15168139281 = 326126732
BaseRepresentation
bin11100010000001011…
…10111000000010001
31110011002112022102100
432020011313000101
5222031020424111
610545041511013
71044611025261
oct161005670021
943132468370
1015168139281
1164840235a9
122b33942469
131579629459
14a3c6b17a1
155db978756
hex388177011

15168139281 has 27 divisors (see below), whose sum is σ = 22307741937. Its totient is φ = 9931541760.

The previous prime is 15168139243. The next prime is 15168139303. The reversal of 15168139281 is 18293186151.

The square root of 15168139281 is 123159.

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

15168139281 is a `hidden beast` number, since 1 + 516 + 81 + 39 + 28 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7509089025 + 7659050256 = 86655^2 + 87516^2 .

It is not a de Polignac number, because 15168139281 - 213 = 15168131089 is a prime.

It is a super-2 number, since 2×151681392812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15168139201) 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 26 ways as a sum of consecutive naturals, for example, 22537761 + ... + 22538433.

Almost surely, 215168139281 is an apocalyptic number.

15168139281 is the 123159-th square number.

15168139281 is the 61580-th centered octagonal number.

It is an amenable number.

15168139281 is a deficient number, since it is larger than the sum of its proper divisors (7139602656).

15168139281 is an frugal number, since it uses more digits than its factorization.

15168139281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

It can be divided in two parts, 15168 and 139281, that added together give a square (154449 = 3932).

The spelling of 15168139281 in words is "fifteen billion, one hundred sixty-eight million, one hundred thirty-nine thousand, two hundred eighty-one".

Divisors: 1 3 9 61 183 549 673 2019 3721 6057 11163 33489 41053 123159 369477 452929 1358787 2504233 4076361 7512699 22538097 27628669 82886007 248658021 1685348809 5056046427 15168139281