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9109960704 = 2113313192329
BaseRepresentation
bin10000111101111111…
…01111100000000000
3212111212222221202000
420132333233200000
5122124122220304
64103550024000
7441516250125
oct103677574000
925455887660
109109960704
113955376349
121922aa8000
13b224a07c0
14625c7a74c
15384b9c939
hex21efef800

9109960704 has 768 divisors, whose sum is σ = 33022080000. Its totient is φ = 2452488192.

The previous prime is 9109960649. The next prime is 9109960711. The reversal of 9109960704 is 4070699019.

9109960704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 9109960704.

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 63 ways as a sum of consecutive naturals, for example, 314136562 + ... + 314136590.

It is an arithmetic number, because the mean of its divisors is an integer number (42997500).

Almost surely, 29109960704 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 9109960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040000).

9109960704 is an abundant number, since it is smaller than the sum of its proper divisors (23912119296).

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

9109960704 is a wasteful number, since it uses less digits than its factorization.

9109960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9109960704 is about 95446.1141377689. The cubic root of 9109960704 is about 2088.5209428142.

The spelling of 9109960704 in words is "nine billion, one hundred nine million, nine hundred sixty thousand, seven hundred four".