Search a number
-
+
6994989792 = 253373137309
BaseRepresentation
bin1101000001110111…
…10001001011100000
3200001111022022002000
412200323301023200
5103311204133132
63114034524000
7335225301150
oct64073611340
920044268060
106994989792
112a6a5423aa
121432736600
1387627061b
144a5014760
152ae17987c
hex1a0ef12e0

6994989792 has 192 divisors, whose sum is σ = 24069427200. Its totient is φ = 1934046720.

The previous prime is 6994989773. The next prime is 6994989797. The reversal of 6994989792 is 2979894996.

6994989792 is a `hidden beast` number, since 69 + 9 + 498 + 9 + 79 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6994989792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6994989797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168834 + ... + 206142.

It is an arithmetic number, because the mean of its divisors is an integer number (125361600).

Almost surely, 26994989792 is an apocalyptic number.

6994989792 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 6994989792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034713600).

6994989792 is an abundant number, since it is smaller than the sum of its proper divisors (17074437408).

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

6994989792 is a wasteful number, since it uses less digits than its factorization.

6994989792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37366 (or 37352 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The square root of 6994989792 is about 83636.0555741362. The cubic root of 6994989792 is about 1912.4746841709.

The spelling of 6994989792 in words is "six billion, nine hundred ninety-four million, nine hundred eighty-nine thousand, seven hundred ninety-two".