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668678164 = 227115414013
BaseRepresentation
bin100111110110110…
…011100000010100
31201121020100222221
4213312303200110
52332140200124
6150204032124
722366446010
oct4766634024
91647210887
10668678164
113134a6890
12167b32644
13a86c386b
1464b43540
153da86ce4
hex27db3814

668678164 has 48 divisors (see below), whose sum is σ = 1461995136. Its totient is φ = 259977600.

The previous prime is 668678123. The next prime is 668678167. The reversal of 668678164 is 461876866.

It is a happy number.

668678164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668678167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164622 + ... + 168634.

It is an arithmetic number, because the mean of its divisors is an integer number (30458232).

Almost surely, 2668678164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668678164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730997568).

668678164 is an abundant number, since it is smaller than the sum of its proper divisors (793316972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668678164 is a wasteful number, since it uses less digits than its factorization.

668678164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4574 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 668678164 is about 25858.8121150218. The cubic root of 668678164 is about 874.4581849490.

The spelling of 668678164 in words is "six hundred sixty-eight million, six hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 541 1082 2164 3787 4013 5951 7574 8026 11902 15148 16052 23804 28091 41657 44143 56182 83314 88286 112364 166628 176572 309001 618002 1236004 2171033 4342066 8684132 15197231 23881363 30394462 47762726 60788924 95525452 167169541 334339082 668678164