Search a number
-
+
6813616320 = 26345717472
BaseRepresentation
bin1100101100001111…
…11000100011000000
3122120212000120110000
412112013320203000
5102423241210240
63044035240000
7330563532420
oct62607704300
918525016400
106813616320
112987121875
1213a1a49000
13847808544
14488cc0480
1529d29e430
hex1961f88c0

6813616320 has 840 divisors, whose sum is σ = 29966387616. Its totient is φ = 1434599424.

The previous prime is 6813616319. The next prime is 6813616321. The reversal of 6813616320 is 236163186.

6813616320 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 616 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6813616319) and next prime (6813616321).

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6813616321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144970537 + ... + 144970583.

Almost surely, 26813616320 is an apocalyptic number.

6813616320 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 6813616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983193808).

6813616320 is an abundant number, since it is smaller than the sum of its proper divisors (23152771296).

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

6813616320 is a wasteful number, since it uses less digits than its factorization.

6813616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6813616320 is about 82544.6322906584. The cubic root of 6813616320 is about 1895.8001712167.

The spelling of 6813616320 in words is "six billion, eight hundred thirteen million, six hundred sixteen thousand, three hundred twenty".