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664264404 = 2232313716087
BaseRepresentation
bin100111100101111…
…101111011010100
31201021221010110100
4213211331323110
52330022430104
6145525254100
722314103626
oct4745757324
91637833410
10664264404
11310a61751
12166564330
13a780987b
1464314c16
153d4b4139
hex2797ded4

664264404 has 72 divisors (see below), whose sum is σ = 1780233728. Its totient is φ = 208474560.

The previous prime is 664264397. The next prime is 664264417. The reversal of 664264404 is 404462466.

It is a happy number.

664264404 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 644 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33249 + ... + 49335.

Almost surely, 2664264404 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 664264404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890116864).

664264404 is an abundant number, since it is smaller than the sum of its proper divisors (1115969324).

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

664264404 is a wasteful number, since it uses less digits than its factorization.

664264404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16160 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 664264404 is about 25773.3273754089. The cubic root of 664264404 is about 872.5299170099.

The spelling of 664264404 in words is "six hundred sixty-four million, two hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 16087 20646 32174 41292 48261 64348 96522 144783 193044 289566 498697 579132 595219 997394 1190438 1496091 1785657 1994788 2380876 2992182 3571314 4488273 5356971 5984364 7142628 8976546 10713942 17953092 18451789 21427884 36903578 55355367 73807156 110710734 166066101 221421468 332132202 664264404