Search a number
-
+
6485401144320 = 2103571712292887
BaseRepresentation
bin101111001100000000000…
…0010000000110000000000
3211221222221202102120000020
41132120000002000300000
51322224100143104240
621443204022053440
71236361200110220
oct136300002006000
924858852376006
106485401144320
11208049696556a
12888ab787a280
13380755ab3c17
14185c761b0080
15b3a780e40d0
hex5e600080c00

6485401144320 has 704 divisors, whose sum is σ = 25130080327680. Its totient is φ = 1393560649728.

The previous prime is 6485401144291. The next prime is 6485401144349. The reversal of 6485401144320 is 234411045846.

It is an interprime number because it is at equal distance from previous prime (6485401144291) and next prime (6485401144349).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2246413917 + ... + 2246416803.

Almost surely, 26485401144320 is an apocalyptic number.

6485401144320 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 6485401144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565040163840).

6485401144320 is an abundant number, since it is smaller than the sum of its proper divisors (18644679183360).

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

6485401144320 is a wasteful number, since it uses less digits than its factorization.

6485401144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 6485401144320 in words is "six trillion, four hundred eighty-five billion, four hundred one million, one hundred forty-four thousand, three hundred twenty".