Search a number
-
+
6485116001280 = 210357173795891
BaseRepresentation
bin101111001011110111100…
…0010010001110000000000
3211221222012212212210021220
41132113233002101300000
51322223004144020110
621443115434315040
71236351135326340
oct136275702216000
924858185783256
106485116001280
11208035aa09364
12888a38288a80
1338070b9b8627
14185c4a386d20
15b3a5d06c370
hex5e5ef091c00

6485116001280 has 704 divisors, whose sum is σ = 25778494467072. Its totient is φ = 1357397360640.

The previous prime is 6485116001269. The next prime is 6485116001347. The reversal of 6485116001280 is 821006115846.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 67582135 + ... + 67678025.

Almost surely, 26485116001280 is an apocalyptic number.

6485116001280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485116001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889247233536).

6485116001280 is an abundant number, since it is smaller than the sum of its proper divisors (19293378465792).

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

6485116001280 is a wasteful number, since it uses less digits than its factorization.

6485116001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95980 (or 95962 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 6485116001280 in words is "six trillion, four hundred eighty-five billion, one hundred sixteen million, one thousand, two hundred eighty".