Search a number
-
+
6399372994560 = 2113257133741503
BaseRepresentation
bin101110100011111100001…
…0110101010100000000000
3211122202220022021202010100
41131013320112222200000
51314321403441311220
621335455324202400
71230224266646040
oct135077026524000
924582808252110
106399372994560
112047a60251337
128742a9099400
133755c5b085b0
14181a349b9720
15b16e07cbd90
hex5d1f85aa800

6399372994560 has 2304 divisors, whose sum is σ = 28775968865280. Its totient is φ = 1279115919360.

The previous prime is 6399372994513. The next prime is 6399372994577. The reversal of 6399372994560 is 654992739936.

6399372994560 is a `hidden beast` number, since 6 + 3 + 9 + 9 + 37 + 29 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12722411269 + ... + 12722411771.

It is an arithmetic number, because the mean of its divisors is an integer number (12489569820).

Almost surely, 26399372994560 is an apocalyptic number.

6399372994560 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 6399372994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387984432640).

6399372994560 is an abundant number, since it is smaller than the sum of its proper divisors (22376595870720).

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

6399372994560 is a wasteful number, since it uses less digits than its factorization.

6399372994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 72.

The spelling of 6399372994560 in words is "six trillion, three hundred ninety-nine billion, three hundred seventy-two million, nine hundred ninety-four thousand, five hundred sixty".