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664653312 = 2932971487
BaseRepresentation
bin100111100111011…
…100111000000000
31201022122212221100
4213213130320000
52330122401222
6145541454400
722320313521
oct4747347000
91638585840
10664653312
113111a7964
12166711400
13a79148ab
14643b6848
153d53e4ac
hex279dce00

664653312 has 120 divisors (see below), whose sum is σ = 1939313376. Its totient is φ = 219119616.

The previous prime is 664653263. The next prime is 664653323. The reversal of 664653312 is 213356466.

664653312 is a `hidden beast` number, since 6 + 646 + 5 + 3 + 3 + 1 + 2 = 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446233 + ... + 447719.

Almost surely, 2664653312 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 664653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969656688).

664653312 is an abundant number, since it is smaller than the sum of its proper divisors (1274660064).

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

664653312 is a wasteful number, since it uses less digits than its factorization.

664653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 664653312 is about 25780.8710481240. The cubic root of 664653312 is about 872.7001643095.

The spelling of 664653312 in words is "six hundred sixty-four million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 776 873 1152 1164 1487 1536 1552 1746 2304 2328 2974 3104 3492 4461 4608 4656 5948 6208 6984 8922 9312 11896 12416 13383 13968 17844 18624 23792 24832 26766 27936 35688 37248 47584 49664 53532 55872 71376 74496 95168 107064 111744 142752 144239 148992 190336 214128 223488 285504 288478 380672 428256 432717 446976 571008 576956 761344 856512 865434 1142016 1153912 1298151 1713024 1730868 2284032 2307824 2596302 3426048 3461736 4615648 5192604 6852096 6923472 9231296 10385208 13846944 18462592 20770416 27693888 36925184 41540832 55387776 73850368 83081664 110775552 166163328 221551104 332326656 664653312