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676306713105 = 32515029038069
BaseRepresentation
bin10011101011101110000…
…01010111101000010001
32101122122222101201022200
421311313001113220101
542040034004304410
61234405131553413
766601340132232
oct11656701275021
92348588351280
10676306713105
11240902565561
12ab0a58bb869
134ba1087c15a
1424a3a709089
15128d3e9e3c0
hex9d77057a11

676306713105 has 12 divisors (see below), whose sum is σ = 1172264969460. Its totient is φ = 360696913632.

The previous prime is 676306713101. The next prime is 676306713119. The reversal of 676306713105 is 501317603676.

676306713105 is a `hidden beast` number, since 6 + 7 + 630 + 6 + 7 + 1 + 3 + 1 + 0 + 5 = 666.

676306713105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 228468704256 + 447838008849 = 477984^2 + 669207^2 .

It is not a de Polignac number, because 676306713105 - 22 = 676306713101 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: 15029038069 = 676306713105 / (6 + 7 + 6 + 3 + 0 + 6 + 7 + 1 + 3 + 1 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (676306713101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7514518990 + ... + 7514519079.

It is an arithmetic number, because the mean of its divisors is an integer number (97688747455).

Almost surely, 2676306713105 is an apocalyptic number.

It is an amenable number.

676306713105 is a deficient number, since it is larger than the sum of its proper divisors (495958256355).

676306713105 is a wasteful number, since it uses less digits than its factorization.

676306713105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029038080 (or 15029038077 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 676306713105 in words is "six hundred seventy-six billion, three hundred six million, seven hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 15029038069 45087114207 75145190345 135261342621 225435571035 676306713105