Search a number
-
+
6875246976 = 2731319173419
BaseRepresentation
bin1100110011100101…
…11111000110000000
3122202010222201210220
412121302333012000
5103040030400401
63054120223040
7332242430553
oct63162770600
918663881726
106875246976
112a089968a4
1213ba60aa80
138575067a0
1449316469a
152a38c5336
hex199cbf180

6875246976 has 256 divisors, whose sum is σ = 20871648000. Its totient is φ = 1987780608.

The previous prime is 6875246969. The next prime is 6875246993. The reversal of 6875246976 is 6796425786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16408495 + ... + 16408913.

It is an arithmetic number, because the mean of its divisors is an integer number (81529875).

Almost surely, 26875246976 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 6875246976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435824000).

6875246976 is an abundant number, since it is smaller than the sum of its proper divisors (13996401024).

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

6875246976 is a wasteful number, since it uses less digits than its factorization.

6875246976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The square root of 6875246976 is about 82917.1090668265. The cubic root of 6875246976 is about 1901.4989995138.

The spelling of 6875246976 in words is "six billion, eight hundred seventy-five million, two hundred forty-six thousand, nine hundred seventy-six".