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668748924 = 2232171033
BaseRepresentation
bin100111110111000…
…100110001111100
31201121100222001200
4213313010301330
52332144431144
6150205335500
722400162214
oct4767046174
91647328050
10668748924
11313544a68
12167b67590
13a8719b2c
1464b61244
153da9cc69
hex27dc4c7c

668748924 has 72 divisors (see below), whose sum is σ = 1807434720. Its totient is φ = 207766656.

The previous prime is 668748901. The next prime is 668748953. The reversal of 668748924 is 429847866.

668748924 is a `hidden beast` number, since 66 + 87 + 489 + 24 = 666.

Its product of digits (4644864) is a multiple of the sum of its prime factors (336).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6492657 + ... + 6492759.

It is an arithmetic number, because the mean of its divisors is an integer number (25103260).

Almost surely, 2668748924 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 668748924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903717360).

668748924 is an abundant number, since it is smaller than the sum of its proper divisors (1138685796).

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

668748924 is a wasteful number, since it uses less digits than its factorization.

668748924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 125 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 668748924 is about 25860.1802777939. The cubic root of 668748924 is about 874.4890291239.

It can be divided in two parts, 6687 and 48924, that added together give a triangular number (55611 = T333).

The spelling of 668748924 in words is "six hundred sixty-eight million, seven hundred forty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3708 5253 7004 10506 10609 15759 21012 21218 31518 31827 42436 63036 63654 95481 127308 180353 190962 360706 381924 541059 721412 1082118 1092727 1623177 2164236 2185454 3246354 3278181 4370908 6492708 6556362 9834543 13112724 18576359 19669086 37152718 39338172 55729077 74305436 111458154 167187231 222916308 334374462 668748924