Search a number
-
+
32394893568 = 283378631321
BaseRepresentation
bin11110001010111000…
…101101100100000000
310002121122201002201220
4132022320231210000
51012321043043233
622514302555040
72224530023562
oct361270554400
9102548632656
1032394893568
1112814089014
126340b98a80
1330935b369b
1417d4539332
15c98ee1eb3
hex78ae2d900

32394893568 has 144 divisors (see below), whose sum is σ = 88717579776. Its totient is φ = 10486333440.

The previous prime is 32394893537. The next prime is 32394893591. The reversal of 32394893568 is 86539849323.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24522348 + ... + 24523668.

It is an arithmetic number, because the mean of its divisors is an integer number (616094304).

Almost surely, 232394893568 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 32394893568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44358789888).

32394893568 is an abundant number, since it is smaller than the sum of its proper divisors (56322686208).

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

32394893568 is a wasteful number, since it uses less digits than its factorization.

32394893568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The spelling of 32394893568 in words is "thirty-two billion, three hundred ninety-four million, eight hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 863 888 1184 1321 1726 1776 2368 2589 2642 3452 3552 3963 4736 5178 5284 6904 7104 7926 9472 10356 10568 13808 14208 15852 20712 21136 27616 28416 31704 31931 41424 42272 48877 55232 63408 63862 82848 84544 95793 97754 110464 126816 127724 146631 165696 169088 191586 195508 220928 253632 255448 293262 331392 338176 383172 391016 507264 510896 586524 662784 766344 782032 1014528 1021792 1140023 1173048 1532688 1564064 2043584 2280046 2346096 3065376 3128128 3420069 4087168 4560092 4692192 6130752 6256256 6840138 8174336 9120184 9384384 12261504 12512512 13680276 18240368 18768768 24523008 27360552 36480736 37537536 42180851 54721104 72961472 84361702 109442208 126542553 145922944 168723404 218884416 253085106 291845888 337446808 437768832 506170212 674893616 875537664 1012340424 1349787232 2024680848 2699574464 4049361696 5399148928 8098723392 10798297856 16197446784 32394893568