Search a number
-
+
11947229505 = 325265493989
BaseRepresentation
bin10110010000001110…
…00100000101000001
31010211121211010211200
423020013010011001
5143431442321010
65253302331413
7602030526621
oct131007040501
933747733750
1011947229505
1150809993a2
122395129b69
131185249393
14814a02881
1549dce9cc0
hex2c81c4141

11947229505 has 12 divisors (see below), whose sum is σ = 20708531220. Its totient is φ = 6371855712.

The previous prime is 11947229467. The next prime is 11947229527. The reversal of 11947229505 is 50592274911.

11947229505 is a `hidden beast` number, since 119 + 4 + 7 + 2 + 29 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5137018929 + 6810210576 = 71673^2 + 82524^2 .

It is not a de Polignac number, because 11947229505 - 213 = 11947221313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 265493989 = 11947229505 / (1 + 1 + 9 + 4 + 7 + 2 + 2 + 9 + 5 + 0 + 5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132746950 + ... + 132747039.

It is an arithmetic number, because the mean of its divisors is an integer number (1725710935).

Almost surely, 211947229505 is an apocalyptic number.

11947229505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11947229505 is a deficient number, since it is larger than the sum of its proper divisors (8761301715).

11947229505 is a wasteful number, since it uses less digits than its factorization.

11947229505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265494000 (or 265493997 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11947229505 in words is "eleven billion, nine hundred forty-seven million, two hundred twenty-nine thousand, five hundred five".

Divisors: 1 3 5 9 15 45 265493989 796481967 1327469945 2389445901 3982409835 11947229505