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9675965376 = 26337113601
BaseRepresentation
bin10010000001011101…
…11000001111000000
3220222100000222012000
421000232320033000
5124304021343001
64240045304000
7461531230410
oct110056701700
926870028160
109675965376
114115915000
121a60565000
13bb28259cc
1467b0d4640
153b9702a86
hex240bb83c0

9675965376 has 448 divisors, whose sum is σ = 35817169920. Its totient is φ = 2509056000.

The previous prime is 9675965371. The next prime is 9675965399. The reversal of 9675965376 is 6735695769.

9675965376 is a `hidden beast` number, since 9 + 6 + 7 + 5 + 96 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9675965371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16099476 + ... + 16100076.

It is an arithmetic number, because the mean of its divisors is an integer number (79949040).

Almost surely, 29675965376 is an apocalyptic number.

9675965376 is a gapful number since it is divisible by the number (96) 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 9675965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908584960).

9675965376 is an abundant number, since it is smaller than the sum of its proper divisors (26141204544).

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

9675965376 is a wasteful number, since it uses less digits than its factorization.

9675965376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 624 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 63.

The square root of 9675965376 is about 98366.4850241178. The cubic root of 9675965376 is about 2130.9083370447.

The spelling of 9675965376 in words is "nine billion, six hundred seventy-five million, nine hundred sixty-five thousand, three hundred seventy-six".