Search a number
-
+
6486542264160 = 253357214502059
BaseRepresentation
bin101111001100100010000…
…0011000010011101100000
3211222002220021122110011000
41132121010003002131200
51322233414304423120
621443513144152000
71236431364344220
oct136310403023540
924862807573130
106486542264160
112080a22005812
12889175a68600
133808a833106a
14185d43974080
15b3ae339d990
hex5e6440c2760

6486542264160 has 192 divisors, whose sum is σ = 25946169177600. Its totient is φ = 1482638224896.

The previous prime is 6486542264159. The next prime is 6486542264183. The reversal of 6486542264160 is 614622456846.

6486542264160 is a `hidden beast` number, since 6 + 4 + 86 + 542 + 2 + 6 + 4 + 16 + 0 = 666.

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 = 6486542264097 and 6486542264106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107220790 + ... + 107281269.

It is an arithmetic number, because the mean of its divisors is an integer number (135136297800).

Almost surely, 26486542264160 is an apocalyptic number.

6486542264160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6486542264160 is an abundant number, since it is smaller than the sum of its proper divisors (19459626913440).

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

6486542264160 is a wasteful number, since it uses less digits than its factorization.

6486542264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214502090 (or 214502076 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6486542264160 in words is "six trillion, four hundred eighty-six billion, five hundred forty-two million, two hundred sixty-four thousand, one hundred sixty".