Search a number
-
+
6609822693768 = 2332713114727567
BaseRepresentation
bin110000000101111100000…
…1000100011100110001000
3212101220002220112011002100
41200023320020203212020
51331243404102200033
622020302143433400
71251354365612310
oct140137010434610
925356086464070
106609822693768
112119234658188
128a90402b5860
1338c3c4037a28
1418bcba840440
15b6e0b33d513
hex602f8223988

6609822693768 has 48 divisors (see below), whose sum is σ = 20458975006080. Its totient is φ = 1888520769504.

The previous prime is 6609822693767. The next prime is 6609822693779. The reversal of 6609822693768 is 8673962289066.

6609822693768 is a `hidden beast` number, since 6 + 609 + 8 + 2 + 2 + 6 + 9 + 3 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6609822693696 and 6609822693705.

It is not an unprimeable number, because it can be changed into a prime (6609822693767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6557363280 + ... + 6557364287.

It is an arithmetic number, because the mean of its divisors is an integer number (426228645960).

Almost surely, 26609822693768 is an apocalyptic number.

It is an amenable number.

6609822693768 is an abundant number, since it is smaller than the sum of its proper divisors (13849152312312).

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

6609822693768 is a wasteful number, since it uses less digits than its factorization.

6609822693768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114727586 (or 13114727579 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 6609822693768 in words is "six trillion, six hundred nine billion, eight hundred twenty-two million, six hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 13114727567 26229455134 39344182701 52458910268 78688365402 91803092969 104917820536 118032548103 157376730804 183606185938 236065096206 275409278907 314753461608 367212371876 472130192412 550818557814 734424743752 826227836721 944260384824 1101637115628 1652455673442 2203274231256 3304911346884 6609822693768