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6444644264664 = 2337971607209659
BaseRepresentation
bin101110111001000001010…
…1110110110101011011000
3211211002202100011112210220
41131302002232312223120
51321042112412432124
621412343444440040
71233416202255204
oct135620256665330
924732670145726
106444644264664
112065181748651
128810223a9020
1337995bc98698
14183ccb29db04
15b298ee51879
hex5dc82bb6ad8

6444644264664 has 64 divisors (see below), whose sum is σ = 16141941446400. Its totient is φ = 2144174043264.

The previous prime is 6444644264629. The next prime is 6444644264693. The reversal of 6444644264664 is 4664624464446.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6444644264598 and 6444644264607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30633867 + ... + 30843525.

It is an arithmetic number, because the mean of its divisors is an integer number (252217835100).

Almost surely, 26444644264664 is an apocalyptic number.

It is an amenable number.

6444644264664 is an abundant number, since it is smaller than the sum of its proper divisors (9697297181736).

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

6444644264664 is a wasteful number, since it uses less digits than its factorization.

6444644264664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212072 (or 212068 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 60.

The spelling of 6444644264664 in words is "six trillion, four hundred forty-four billion, six hundred forty-four million, two hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 797 1594 1607 2391 3188 3214 4782 4821 6376 6428 9564 9642 12856 19128 19284 38568 209659 419318 628977 838636 1257954 1280779 1677272 2515908 2561558 3842337 5031816 5123116 7684674 10246232 15369348 30738696 167098223 334196446 336922013 501294669 668392892 673844026 1002589338 1010766039 1336785784 1347688052 2005178676 2021532078 2695376104 4010357352 4043064156 8086128312 268526844361 537053688722 805580533083 1074107377444 1611161066166 2148214754888 3222322132332 6444644264664