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9425916864 = 263471322953
BaseRepresentation
bin10001100011101010…
…00001001111000000
3220022220112012010000
420301311001033000
5123301013314424
64155154040000
7452403654120
oct106165011700
926286465100
109425916864
113aa7758941
1219b0879000
13b72a97200
14655c04c80
153a27ae3c9
hex231d413c0

9425916864 has 840 divisors, whose sum is σ = 36445606560. Its totient is φ = 2354946048.

The previous prime is 9425916817. The next prime is 9425916889. The reversal of 9425916864 is 4686195249.

9425916864 is a `hidden beast` number, since 9 + 42 + 591 + 6 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9425916864.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 177847462 + ... + 177847514.

Almost surely, 29425916864 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 9425916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222803280).

9425916864 is an abundant number, since it is smaller than the sum of its proper divisors (27019689696).

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

9425916864 is a wasteful number, since it uses less digits than its factorization.

9425916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 9425916864 is about 97087.1611697448. The cubic root of 9425916864 is about 2112.3921017869.

The spelling of 9425916864 in words is "nine billion, four hundred twenty-five million, nine hundred sixteen thousand, eight hundred sixty-four".