Search a number
-
+
15105156069 = 331581327941
BaseRepresentation
bin11100001000101011…
…00110001111100101
31102222201000102200210
432010111212033211
5221413404443234
610534511530033
71043214464613
oct160425461745
942881012623
1015105156069
116451515363
122b16829919
131569576693
14a341986b3
155d6186be9
hex3845663e5

15105156069 has 16 divisors (see below), whose sum is σ = 20794212864. Its totient is φ = 9743236800.

The previous prime is 15105156061. The next prime is 15105156083. The reversal of 15105156069 is 96065150151.

15105156069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15105156069 - 23 = 15105156061 is a prime.

It is a super-2 number, since 2×151051560692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15105156061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 526639 + ... + 554579.

It is an arithmetic number, because the mean of its divisors is an integer number (1299638304).

Almost surely, 215105156069 is an apocalyptic number.

It is an amenable number.

15105156069 is a deficient number, since it is larger than the sum of its proper divisors (5689056795).

15105156069 is a wasteful number, since it uses less digits than its factorization.

15105156069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788.

The product of its (nonzero) digits is 40500, while the sum is 39.

The spelling of 15105156069 in words is "fifteen billion, one hundred five million, one hundred fifty-six thousand, sixty-nine".

Divisors: 1 3 31 93 5813 17439 27941 83823 180203 540609 866171 2598513 162421033 487263099 5035052023 15105156069