Search a number
-
+
32071681992 = 2337379775281
BaseRepresentation
bin11101110111100111…
…110000011111001000
310001210010112020210210
4131313213300133020
51011140322310432
622422235241120
72213523541020
oct356747603710
9101703466723
1032071681992
11126686a0409
1262708a91a0
13304164972c
1417a3642a80
15c7a94a8cc
hex7779f07c8

32071681992 has 128 divisors (see below), whose sum is σ = 94224119040. Its totient is φ = 8904867840.

The previous prime is 32071681973. The next prime is 32071682003. The reversal of 32071681992 is 29918617023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6070392 + ... + 6075672.

It is an arithmetic number, because the mean of its divisors is an integer number (736125930).

Almost surely, 232071681992 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 32071681992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47112059520).

32071681992 is an abundant number, since it is smaller than the sum of its proper divisors (62152437048).

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

32071681992 is a wasteful number, since it uses less digits than its factorization.

32071681992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 32071681992 in words is "thirty-two billion, seventy-one million, six hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 977 1036 1554 1954 2072 2931 3108 3908 5281 5862 6216 6839 7816 10562 11724 13678 15843 20517 21124 23448 27356 31686 36149 36967 41034 42248 54712 63372 72298 73934 82068 108447 110901 126744 144596 147868 164136 195397 216894 221802 253043 289192 295736 390794 433788 443604 506086 586191 759129 781588 867576 887208 1012172 1172382 1367779 1518258 1563176 2024344 2344764 2735558 3036516 4103337 4689528 5159537 5471116 6073032 8206674 10319074 10942232 15478611 16413348 20638148 30957222 32826696 36116759 41276296 61914444 72233518 108350277 123828888 144467036 190902869 216700554 288934072 381805738 433401108 572708607 763611476 866802216 1145417214 1336320083 1527222952 2290834428 2672640166 4008960249 4581668856 5345280332 8017920498 10690560664 16035840996 32071681992