Search a number
-
+
6995380392 = 233271113312101
BaseRepresentation
bin1101000001111010…
…10000100010101000
3200001112001010212200
412200331100202220
5103311304133032
63114051140200
7335231516010
oct64075204250
920045033780
106995380392
112a6a789910
1214328a4660
13876379350
144a50b6c40
152ae20547c
hex1a0f508a8

6995380392 has 576 divisors, whose sum is σ = 26545034880. Its totient is φ = 1607040000.

The previous prime is 6995380363. The next prime is 6995380393. The reversal of 6995380392 is 2930835996.

It is not an unprimeable number, because it can be changed into a prime (6995380393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69261142 + ... + 69261242.

It is an arithmetic number, because the mean of its divisors is an integer number (46085130).

Almost surely, 26995380392 is an apocalyptic number.

6995380392 is a gapful number since it is divisible by the number (62) 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 6995380392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272517440).

6995380392 is an abundant number, since it is smaller than the sum of its proper divisors (19549654488).

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

6995380392 is a wasteful number, since it uses less digits than its factorization.

6995380392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 6995380392 is about 83638.3906588356. The cubic root of 6995380392 is about 1912.5102810161.

The spelling of 6995380392 in words is "six billion, nine hundred ninety-five million, three hundred eighty thousand, three hundred ninety-two".