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6460340766 = 2311253379443
BaseRepresentation
bin1100000010001000…
…01111101000011110
3121200020021022111020
412001010033220132
5101212321401031
62545015305010
7316043663505
oct60104175036
917606238436
106460340766
11281576a700
12130367b166
137bc576459
14453ddd83c
1527c26a096
hex18110fa1e

6460340766 has 96 divisors (see below), whose sum is σ = 14540964480. Its totient is φ = 1911349440.

The previous prime is 6460340749. The next prime is 6460340801. The reversal of 6460340766 is 6670430646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14582941 + ... + 14583383.

It is an arithmetic number, because the mean of its divisors is an integer number (151468380).

Almost surely, 26460340766 is an apocalyptic number.

6460340766 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 6460340766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270482240).

6460340766 is an abundant number, since it is smaller than the sum of its proper divisors (8080623714).

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

6460340766 is a wasteful number, since it uses less digits than its factorization.

6460340766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 6460340766 is about 80376.2450354581. The cubic root of 6460340766 is about 1862.4522291908.

The spelling of 6460340766 in words is "six billion, four hundred sixty million, three hundred forty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 379 443 583 726 758 886 1137 1166 1329 1749 2274 2658 3498 4169 4873 6413 8338 9746 12507 12826 14619 19239 20087 23479 25014 29238 38478 40174 45859 46958 53603 60261 70437 91718 107206 120522 137577 140874 160809 167897 220957 258269 275154 321618 335794 441914 503691 516538 662871 774807 1007382 1325742 1549614 1846867 2430527 2840959 3693734 4861054 5540601 5681918 7291581 8522877 8898541 11081202 14583162 17045754 17797082 20315537 26695623 40631074 53391246 60946611 97883951 121893222 195767902 293651853 587303706 1076723461 2153446922 3230170383 6460340766