Search a number
-
+
6900870816 = 253473112269
BaseRepresentation
bin1100110110101001…
…01110111010100000
3122210221012120010000
412123110232322200
5103113110331231
63100433340000
7333003301620
oct63324567240
918727176100
106900870816
112a213a8424
121407107600
1385c908918
14496714880
152a5c876e6
hex19b52eea0

6900870816 has 240 divisors, whose sum is σ = 23944757760. Its totient is φ = 1907919360.

The previous prime is 6900870763. The next prime is 6900870841. The reversal of 6900870816 is 6180780096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556330 + ... + 568598.

It is an arithmetic number, because the mean of its divisors is an integer number (99769824).

Almost surely, 26900870816 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 6900870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972378880).

6900870816 is an abundant number, since it is smaller than the sum of its proper divisors (17043886944).

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

6900870816 is a wasteful number, since it uses less digits than its factorization.

6900870816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6900870816 is about 83071.4801601609. The cubic root of 6900870816 is about 1903.8583475108.

The spelling of 6900870816 in words is "six billion, nine hundred million, eight hundred seventy thousand, eight hundred sixteen".