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6444146135646 = 233337354112877
BaseRepresentation
bin101110111000110010100…
…0010101001001001011110
3211211001110121211222021000
41131301211002221021132
51321040102402320041
621412222212051130
71233400643243052
oct135614502511136
924731417758230
106444146135646
112064a4654997a
12880b03603aa6
133798aca1a09b
14183c81073c62
15b2961357bb6
hex5dc650a925e

6444146135646 has 32 divisors (see below), whose sum is σ = 14362818331680. Its totient is φ = 2141674674048.

The previous prime is 6444146135599. The next prime is 6444146135671. The reversal of 6444146135646 is 6465316414446.

6444146135646 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 14 + 61 + 3 + 564 + 6 = 666.

It is a super-2 number, since 2×64441461356462 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6444146135592 and 6444146135601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177038241 + ... + 177074636.

It is an arithmetic number, because the mean of its divisors is an integer number (448838072865).

Almost surely, 26444146135646 is an apocalyptic number.

6444146135646 is an abundant number, since it is smaller than the sum of its proper divisors (7918672196034).

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

6444146135646 is a wasteful number, since it uses less digits than its factorization.

6444146135646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354113225 (or 354113219 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 6444146135646 in words is "six trillion, four hundred forty-four billion, one hundred forty-six million, one hundred thirty-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 337 674 1011 2022 3033 6066 9099 18198 354112877 708225754 1062338631 2124677262 3187015893 6374031786 9561047679 19122095358 119336039549 238672079098 358008118647 716016237294 1074024355941 2148048711882 3222073067823 6444146135646