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663986736 = 243274315319
BaseRepresentation
bin100111100100111…
…010001000110000
31201021102000120100
4213210322020300
52324440033421
6145515312400
722311536250
oct4744721060
91637360510
10663986736
11310892076
1216644b700
13a774037a
1464281960
153d45bc26
hex2793a230

663986736 has 120 divisors (see below), whose sum is σ = 2173233920. Its totient is φ = 185286528.

The previous prime is 663986723. The next prime is 663986753. The reversal of 663986736 is 637689366.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35685 + ... + 51003.

Almost surely, 2663986736 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 663986736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086616960).

663986736 is an abundant number, since it is smaller than the sum of its proper divisors (1509247184).

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

663986736 is a wasteful number, since it uses less digits than its factorization.

663986736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15374 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 663986736 is about 25767.9400806506. The cubic root of 663986736 is about 872.4083251654.

The spelling of 663986736 in words is "six hundred sixty-three million, nine hundred eighty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 6192 7224 10836 14448 15319 21672 30638 43344 45957 61276 91914 107233 122552 137871 183828 214466 245104 275742 321699 367656 428932 551484 643398 658717 735312 857864 965097 1102968 1286796 1317434 1715728 1930194 1976151 2205936 2573592 2634868 3860388 3952302 4611019 5147184 5269736 5928453 7720776 7904604 9222038 10539472 11856906 13833057 15441552 15809208 18444076 23713812 27666114 31618416 36888152 41499171 47427624 55332228 73776304 82998342 94855248 110664456 165996684 221328912 331993368 663986736