Search a number
-
+
8721216980 = 22572192931521
BaseRepresentation
bin10000001111101001…
…10011010111010100
3211111210111201121022
420013310303113110
5120330112420410
64001221540312
7426056056400
oct100764632724
924453451538
108721216980
113775999443
121834874698
13a8caa0828
145ca3a6100
153609ae455
hex207d335d4

8721216980 has 288 divisors, whose sum is σ = 23993625600. Its totient is φ = 2641766400.

The previous prime is 8721216913. The next prime is 8721216991. The reversal of 8721216980 is 896121278.

8721216980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87212169802 (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 16739120 + ... + 16739640.

It is an arithmetic number, because the mean of its divisors is an integer number (83311200).

Almost surely, 28721216980 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 8721216980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996812800).

8721216980 is an abundant number, since it is smaller than the sum of its proper divisors (15272408620).

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

8721216980 is a wasteful number, since it uses less digits than its factorization.

8721216980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 8721216980 is about 93387.4562240561. The cubic root of 8721216980 is about 2058.3806814258.

The spelling of 8721216980 in words is "eight billion, seven hundred twenty-one million, two hundred sixteen thousand, nine hundred eighty".