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668113641 = 32135710373
BaseRepresentation
bin100111110100101…
…001101011101001
31201120011200121200
4213310221223221
52332014114031
6150143554413
722361605116
oct4764515351
91646150550
10668113641
11313150738
121678bba09
13a8556920
1464a3790d
153d9c48e6
hex27d29ae9

668113641 has 12 divisors (see below), whose sum is σ = 1039288068. Its totient is φ = 411146784.

The previous prime is 668113639. The next prime is 668113679. The reversal of 668113641 is 146311866.

668113641 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 1 + 3 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415303641 + 252810000 = 20379^2 + 15900^2 .

It is not a de Polignac number, because 668113641 - 21 = 668113639 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 668113596 and 668113605.

It is not an unprimeable number, because it can be changed into a prime (668113631) 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 11 ways as a sum of consecutive naturals, for example, 2855070 + ... + 2855303.

It is an arithmetic number, because the mean of its divisors is an integer number (86607339).

Almost surely, 2668113641 is an apocalyptic number.

It is an amenable number.

668113641 is a deficient number, since it is larger than the sum of its proper divisors (371174427).

668113641 is a wasteful number, since it uses less digits than its factorization.

668113641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710392 (or 5710389 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 668113641 is about 25847.8943242965. The cubic root of 668113641 is about 874.2120322807.

The spelling of 668113641 in words is "six hundred sixty-eight million, one hundred thirteen thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 117 5710373 17131119 51393357 74234849 222704547 668113641