Search a number
-
+
9160886880 = 25325311631259
BaseRepresentation
bin10001000100000100…
…00000101001100000
3212122102211021022200
420202002000221200
5122230141340010
64113005333200
7443005153005
oct104202005140
925572737280
109160886880
1139810999a2
121937b67200
13b2cbc1632
1462c9358ac
153893abcc0
hex222080a60

9160886880 has 288 divisors, whose sum is σ = 32493726720. Its totient is φ = 2347729920.

The previous prime is 9160886851. The next prime is 9160886887. The reversal of 9160886880 is 886880619.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×91608868802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9160886887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7275691 + ... + 7276949.

It is an arithmetic number, because the mean of its divisors is an integer number (112825440).

Almost surely, 29160886880 is an apocalyptic number.

9160886880 is a gapful number since it is divisible by the number (90) 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 9160886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246863360).

9160886880 is an abundant number, since it is smaller than the sum of its proper divisors (23332839840).

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

9160886880 is a wasteful number, since it uses less digits than its factorization.

9160886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 9160886880 is about 95712.5220647748. The cubic root of 9160886880 is about 2092.4054384455.

The spelling of 9160886880 in words is "nine billion, one hundred sixty million, eight hundred eighty-six thousand, eight hundred eighty".