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9664094000 = 2453112371269
BaseRepresentation
bin10010000000000011…
…00101111100110000
3220221111200211201102
421000001211330300
5124243002002000
64234543023532
7461325305111
oct110001457460
926844624642
109664094000
11410a146950
121a5859aba8
13bb022a422
146796c4208
153b865a3d5
hex240065f30

9664094000 has 320 divisors, whose sum is σ = 27075409920. Its totient is φ = 3301760000.

The previous prime is 9664093997. The next prime is 9664094021. The reversal of 9664094000 is 4904669.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35925866 + ... + 35926134.

It is an arithmetic number, because the mean of its divisors is an integer number (84610656).

Almost surely, 29664094000 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 9664094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537704960).

9664094000 is an abundant number, since it is smaller than the sum of its proper divisors (17411315920).

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

9664094000 is a wasteful number, since it uses less digits than its factorization.

9664094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9664094000 is about 98306.1239191130. The cubic root of 9664094000 is about 2130.0365147626.

Adding to 9664094000 its reverse (4904669), we get a palindrome (9668998669).

The spelling of 9664094000 in words is "nine billion, six hundred sixty-four million, ninety-four thousand".