Search a number
-
+
6988910755392 = 2634177110111059
BaseRepresentation
bin110010110110011101110…
…0010101111111001000000
3220202010121012120222120000
41211230323202233321000
51404001242123133032
622510354500320000
71320634503146046
oct145547342577100
926663535528500
106988910755392
112254a86a14785
1294a5b80a3000
133b9089084b27
141a239d574396
15c1be6dd1e7c
hex65b3b8afe40

6988910755392 has 560 divisors, whose sum is σ = 22467222771840. Its totient is φ = 2140121088000.

The previous prime is 6988910755319. The next prime is 6988910755447. The reversal of 6988910755392 is 2935570198896.

6988910755392 is a `hidden beast` number, since 6 + 9 + 8 + 8 + 9 + 10 + 75 + 539 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6988910755392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 631960359 + ... + 631971417.

It is an arithmetic number, because the mean of its divisors is an integer number (40120040664).

Almost surely, 26988910755392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6988910755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233611385920).

6988910755392 is an abundant number, since it is smaller than the sum of its proper divisors (15478312016448).

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

6988910755392 is a wasteful number, since it uses less digits than its factorization.

6988910755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 6988910755392 in words is "six trillion, nine hundred eighty-eight billion, nine hundred ten million, seven hundred fifty-five thousand, three hundred ninety-two".