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9479627640 = 2334573197139
BaseRepresentation
bin10001101010000011…
…11010001101111000
3220110122120222110000
420311001322031320
5123403241041030
64204353153000
7453625335240
oct106501721570
926418528400
109479627640
11402500360a
121a0685b760
13b80c51632
1465cdc6b20
153a736d860
hex23507a378

9479627640 has 640 divisors, whose sum is σ = 38249164800. Its totient is φ = 2060328960.

The previous prime is 9479627617. The next prime is 9479627659. The reversal of 9479627640 is 467269749.

It is a happy number.

9479627640 is a `hidden beast` number, since 9 + 4 + 7 + 9 + 627 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68198691 + ... + 68198829.

It is an arithmetic number, because the mean of its divisors is an integer number (59764320).

Almost surely, 29479627640 is an apocalyptic number.

9479627640 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 9479627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124582400).

9479627640 is an abundant number, since it is smaller than the sum of its proper divisors (28769537160).

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

9479627640 is a wasteful number, since it uses less digits than its factorization.

9479627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 9479627640 is about 97363.3793579496. The cubic root of 9479627640 is about 2116.3967836889.

The spelling of 9479627640 in words is "nine billion, four hundred seventy-nine million, six hundred twenty-seven thousand, six hundred forty".