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9103207680 = 28355737113
BaseRepresentation
bin10000111101001011…
…11110110100000000
3212111102021212100000
420132211332310000
5122120410121210
64103145200000
7441404663040
oct103645766400
925442255300
109103207680
113951583736
121920790000
13b20c77b28
14624ddd720
153842b6ac0
hex21e97ed00

9103207680 has 864 divisors, whose sum is σ = 38676927744. Its totient is φ = 2006581248.

The previous prime is 9103207639. The next prime is 9103207681. The reversal of 9103207680 is 867023019.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9103207681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80559304 + ... + 80559416.

Almost surely, 29103207680 is an apocalyptic number.

9103207680 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 9103207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338463872).

9103207680 is an abundant number, since it is smaller than the sum of its proper divisors (29573720064).

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

9103207680 is a wasteful number, since it uses less digits than its factorization.

9103207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9103207680 is about 95410.7314718842. The cubic root of 9103207680 is about 2088.0047562317.

The spelling of 9103207680 in words is "nine billion, one hundred three million, two hundred seven thousand, six hundred eighty".