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9916358368 = 2572329312141
BaseRepresentation
bin10010011110000111…
…11001111011100000
3221121002101012101011
421033003321323200
5130302041431433
64315553550304
7500510440540
oct111703717340
927532335334
109916358368
1142295868a4
121b08b75394
13c20583697
146a0dcd320
153d088a3cd
hex24f0f9ee0

9916358368 has 192 divisors, whose sum is σ = 24873246720. Its totient is φ = 3796531200.

The previous prime is 9916358363. The next prime is 9916358369. The reversal of 9916358368 is 8638536199.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916358363) 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, 4630578 + ... + 4632718.

It is an arithmetic number, because the mean of its divisors is an integer number (129548160).

Almost surely, 29916358368 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 9916358368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436623360).

9916358368 is an abundant number, since it is smaller than the sum of its proper divisors (14956888352).

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

9916358368 is a wasteful number, since it uses less digits than its factorization.

9916358368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2233 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The square root of 9916358368 is about 99580.9136732537. The cubic root of 9916358368 is about 2148.4111837055.

The spelling of 9916358368 in words is "nine billion, nine hundred sixteen million, three hundred fifty-eight thousand, three hundred sixty-eight".