Search a number
-
+
32979794364 = 223211245716567
BaseRepresentation
bin11110101101101111…
…111011100110111100
310011010102022010210100
4132231233323212330
51020020311404424
623052315241100
72245161424656
oct365557734674
9104112263710
1032979794364
1112a94263700
126484a49190
13315782372a
14184c0b16d6
15cd052adc9
hex7adbfb9bc

32979794364 has 108 divisors (see below), whose sum is σ = 91839306832. Its totient is φ = 9971406720.

The previous prime is 32979794311. The next prime is 32979794377. The reversal of 32979794364 is 46349797923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1982409 + ... + 1998975.

Almost surely, 232979794364 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 32979794364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45919653416).

32979794364 is an abundant number, since it is smaller than the sum of its proper divisors (58859512468).

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

32979794364 is a wasteful number, since it uses less digits than its factorization.

32979794364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17040 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 32979794364 in words is "thirty-two billion, nine hundred seventy-nine million, seven hundred ninety-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 457 484 726 914 1089 1371 1452 1828 2178 2742 4113 4356 5027 5484 8226 10054 15081 16452 16567 20108 30162 33134 45243 49701 55297 60324 66268 90486 99402 110594 149103 165891 180972 182237 198804 221188 298206 331782 364474 497673 546711 596412 663564 728948 995346 1093422 1640133 1990692 2004607 2186844 3280266 4009214 6013821 6560532 7571119 8018428 12027642 15142238 18041463 22713357 24055284 30284476 36082926 45426714 68140071 72165852 83282309 90853428 136280142 166564618 249846927 272560284 333129236 499693854 749540781 916105399 999387708 1499081562 1832210798 2748316197 2998163124 3664421596 5496632394 8244948591 10993264788 16489897182 32979794364