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9268750080 = 28335269997
BaseRepresentation
bin10001010000111010…
…11110011100000000
3212220221210021211000
420220131132130000
5122440300000310
64131421252000
7445455034662
oct105035363400
925827707730
109268750080
113a26a71137
121968104000
13b49359205
1463cdb2532
15393ab64c0
hex22875e700

9268750080 has 288 divisors, whose sum is σ = 33046574400. Its totient is φ = 2460008448.

The previous prime is 9268750063. The next prime is 9268750087. The reversal of 9268750080 is 800578629.

9268750080 is a `hidden beast` number, since 9 + 2 + 68 + 7 + 500 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268750087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9296142 + ... + 9297138.

It is an arithmetic number, because the mean of its divisors is an integer number (114745050).

Almost surely, 29268750080 is an apocalyptic number.

9268750080 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 9268750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523287200).

9268750080 is an abundant number, since it is smaller than the sum of its proper divisors (23777824320).

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

9268750080 is a wasteful number, since it uses less digits than its factorization.

9268750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9268750080 is about 96274.3479853278. The cubic root of 9268750080 is about 2100.5856325863.

The spelling of 9268750080 in words is "nine billion, two hundred sixty-eight million, seven hundred fifty thousand, eighty".