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666874368 = 2932178513
BaseRepresentation
bin100111101111111…
…011001000000000
31201110211201122200
4213233323020000
52331204434433
6150101233200
722345224066
oct4757731000
91643751580
10666874368
11312484646
12167402800
13a8211824
14647d4036
153d82c613
hex27bfb200

666874368 has 120 divisors (see below), whose sum is σ = 2038098348. Its totient is φ = 209190912.

The previous prime is 666874367. The next prime is 666874423. The reversal of 666874368 is 863478666.

666874368 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 533055744 + 133818624 = 23088^2 + 11568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666874367) 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, 74080 + ... + 82592.

Almost surely, 2666874368 is an apocalyptic number.

666874368 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019049174).

666874368 is an abundant number, since it is smaller than the sum of its proper divisors (1371223980).

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

666874368 is a wasteful number, since it uses less digits than its factorization.

666874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8535 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 666874368 is about 25823.9107805150. The cubic root of 666874368 is about 873.6711772300.

The spelling of 666874368 in words is "six hundred sixty-six million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8513 8704 9792 13056 17026 19584 25539 26112 34052 39168 51078 68104 76617 78336 102156 136208 144721 153234 204312 272416 289442 306468 408624 434163 544832 578884 612936 817248 868326 1089664 1157768 1225872 1302489 1634496 1736652 2179328 2315536 2451744 2604978 3268992 3473304 4358656 4631072 4903488 5209956 6537984 6946608 9262144 9806976 10419912 13075968 13893216 18524288 19613952 20839824 27786432 37048576 39227904 41679648 55572864 74097152 83359296 111145728 166718592 222291456 333437184 666874368