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6446666646 = 232773700877
BaseRepresentation
bin1100000000100000…
…00101001110010110
3121122021112121010100
412000100011032112
5101200321313041
62543410234530
7315516522330
oct60020051626
917567477110
106446666646
112808a80082
1212bab85a46
137b9799464
14452280450
1527ae686b6
hex180405396

6446666646 has 48 divisors (see below), whose sum is σ = 16181871264. Its totient is φ = 1816670592.

The previous prime is 6446666623. The next prime is 6446666651. The reversal of 6446666646 is 6466666446.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6446666592 and 6446666601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341241 + ... + 359636.

It is an arithmetic number, because the mean of its divisors is an integer number (337122318).

Almost surely, 26446666646 is an apocalyptic number.

6446666646 is an abundant number, since it is smaller than the sum of its proper divisors (9735204618).

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

6446666646 is a wasteful number, since it uses less digits than its factorization.

6446666646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700965 (or 700962 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The square root of 6446666646 is about 80291.1367835828. The cubic root of 6446666646 is about 1861.1372632229.

The spelling of 6446666646 in words is "six billion, four hundred forty-six million, six hundred sixty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 4599 9198 700877 1401754 2102631 4205262 4906139 6307893 9812278 12615786 14718417 29436834 44155251 51164021 88310502 102328042 153492063 306984126 358148147 460476189 716296294 920952378 1074444441 2148888882 3223333323 6446666646