Search a number
-
+
15061151061 = 3211433537973
BaseRepresentation
bin11100000011011011…
…01110110101010101
31102212122012202011200
432001231232311111
5221321123313221
610530300423113
71042141446255
oct160155566525
942778182150
1015061151061
116429699790
122b03b47a99
131560409c08
14a2c3c1965
155d2393426
hex381b6ed55

15061151061 has 24 divisors (see below), whose sum is σ = 24284653536. Its totient is φ = 8915689440.

The previous prime is 15061151051. The next prime is 15061151117. The reversal of 15061151061 is 16015116051.

15061151061 is a `hidden beast` number, since 1 + 506 + 1 + 151 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 15061151061 - 25 = 15061151029 is a prime.

It is a super-2 number, since 2×150611510612 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15061151051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764730 + ... + 1773243.

It is an arithmetic number, because the mean of its divisors is an integer number (1011860564).

Almost surely, 215061151061 is an apocalyptic number.

15061151061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15061151061 is a deficient number, since it is larger than the sum of its proper divisors (9223502475).

15061151061 is a wasteful number, since it uses less digits than its factorization.

15061151061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538033 (or 3538030 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 15061151061 in words is "fifteen billion, sixty-one million, one hundred fifty-one thousand, sixty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 3537973 10613919 31841757 38917703 116753109 152132839 350259327 456398517 1369195551 1673461229 5020383687 15061151061