Search a number
-
+
6395994072 = 23321317339499
BaseRepresentation
bin1011111010011101…
…10001111111011000
3121111202012011102100
411331032301333120
5101044333302242
62534400203400
7314333024016
oct57516617730
917452164370
106395994072
112792410016
1212a6009560
137ac136ba0
1444964d8b6
152767a954c
hex17d3b1fd8

6395994072 has 96 divisors (see below), whose sum is σ = 18763290000. Its totient is φ = 1956572928.

The previous prime is 6395994071. The next prime is 6395994083. The reversal of 6395994072 is 2704995936.

6395994072 is a `hidden beast` number, since 6 + 3 + 9 + 599 + 40 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395994071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142179 + ... + 181677.

Almost surely, 26395994072 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 6395994072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381645000).

6395994072 is an abundant number, since it is smaller than the sum of its proper divisors (12367295928).

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

6395994072 is a wasteful number, since it uses less digits than its factorization.

6395994072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39697 (or 39690 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 6395994072 is about 79974.9590309367. The cubic root of 6395994072 is about 1856.2480802891.

The spelling of 6395994072 in words is "six billion, three hundred ninety-five million, nine hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 173 234 312 346 468 519 692 936 1038 1384 1557 2076 2249 3114 4152 4498 6228 6747 8996 12456 13494 17992 20241 26988 39499 40482 53976 78998 80964 118497 157996 161928 236994 315992 355491 473988 513487 710982 947976 1026974 1421964 1540461 2053948 2843928 3080922 4107896 4621383 6161844 6833327 9242766 12323688 13666654 18485532 20499981 27333308 36971064 40999962 54666616 61499943 81999924 88833251 122999886 163999848 177666502 245999772 266499753 355333004 491999544 532999506 710666008 799499259 1065999012 1598998518 2131998024 3197997036 6395994072