Search a number
-
+
6470130364704 = 253383347260011
BaseRepresentation
bin101111000100111000111…
…0100100111000100100000
3211220112112111202120112000
41132021301310213010200
51322001311333132304
621432200432204000
71235310601451646
oct136116164470440
924815474676460
106470130364704
112074a6aa07846
12885b55699600
1337c19112b256
14185228021196
15b3482643939
hex5e271d27120

6470130364704 has 192 divisors, whose sum is σ = 19153690375680. Its totient is φ = 2124577071360.

The previous prime is 6470130364681. The next prime is 6470130364759. The reversal of 6470130364704 is 4074630310746.

6470130364704 is a `hidden beast` number, since 6 + 47 + 0 + 130 + 3 + 6 + 470 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6470130364704.

It is an unprimeable number.

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, 24754059 + ... + 25014069.

It is an arithmetic number, because the mean of its divisors is an integer number (99758804040).

Almost surely, 26470130364704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6470130364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576845187840).

6470130364704 is an abundant number, since it is smaller than the sum of its proper divisors (12683560010976).

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

6470130364704 is a wasteful number, since it uses less digits than its factorization.

6470130364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260460 (or 260446 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 6470130364704 in words is "six trillion, four hundred seventy billion, one hundred thirty million, three hundred sixty-four thousand, seven hundred four".