Search a number
-
+
12916358145 = 33595676727
BaseRepresentation
bin11000000011101111…
…11111110000000001
31020100011101222102000
430001313333300001
5202423041430040
65533402214213
7635036142555
oct140167776001
936304358360
1012916358145
115528a47059
1226057b4369
1312aac67a92
148a75d5865
15508e2e130
hex301dffc01

12916358145 has 16 divisors (see below), whose sum is σ = 22962414720. Its totient is φ = 6888724272.

The previous prime is 12916358131. The next prime is 12916358153. The reversal of 12916358145 is 54185361921.

It is a happy number.

12916358145 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 63 + 581 + 4 + 5 = 666.

12916358145 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 12916358145 - 215 = 12916325377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12916358145.

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 15 ways as a sum of consecutive naturals, for example, 47838229 + ... + 47838498.

It is an arithmetic number, because the mean of its divisors is an integer number (1435150920).

Almost surely, 212916358145 is an apocalyptic number.

12916358145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12916358145 is a deficient number, since it is larger than the sum of its proper divisors (10046056575).

12916358145 is an equidigital number, since it uses as much as digits as its factorization.

12916358145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95676741 (or 95676735 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 12916358145 in words is "twelve billion, nine hundred sixteen million, three hundred fifty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 95676727 287030181 478383635 861090543 1435150905 2583271629 4305452715 12916358145