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64166444166 = 231110922693931
BaseRepresentation
bin111011110000100111…
…100011110010000110
320010121212111002200010
4323300213203302012
52022403102203131
645251101331050
74431050530146
oct736047436206
9203555432603
1064166444166
1125238315250
1210529266a86
1360879b7576
143169d72926
151a08404b46
hexef09e3c86

64166444166 has 64 divisors (see below), whose sum is σ = 141382137600. Its totient is φ = 19252598400.

The previous prime is 64166444161. The next prime is 64166444183. The reversal of 64166444166 is 66144466146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64166444161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16321221 + ... + 16325151.

It is an arithmetic number, because the mean of its divisors is an integer number (2209095900).

Almost surely, 264166444166 is an apocalyptic number.

64166444166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64166444166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70691068800).

64166444166 is an abundant number, since it is smaller than the sum of its proper divisors (77215693434).

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

64166444166 is a wasteful number, since it uses less digits than its factorization.

64166444166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325.

The product of its digits is 1990656, while the sum is 48.

The spelling of 64166444166 in words is "sixty-four billion, one hundred sixty-six million, four hundred forty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 2269 2398 3597 3931 4538 6807 7194 7862 11793 13614 23586 24959 43241 49918 74877 86482 129723 149754 247321 259446 428479 494642 741963 856958 1285437 1483926 2570874 2720531 4713269 5441062 8161593 8919439 9426538 14139807 16323186 17838878 26758317 28279614 53516634 98113829 196227658 294341487 588682974 972218851 1944437702 2916656553 5833313106 10694407361 21388814722 32083222083 64166444166