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9482768064 = 263371131931
BaseRepresentation
bin10001101010011011…
…11000111011000000
3220110212111112022000
420311031320323000
5123410042034224
64204544344000
7453664125060
oct106515707300
926425445260
109482768064
114026859000
121a07915000
13b817b0b83
1465d5a33a0
153a778e0c9
hex235378ec0

9482768064 has 896 divisors, whose sum is σ = 38078054400. Its totient is φ = 2258150400.

The previous prime is 9482768059. The next prime is 9482768123. The reversal of 9482768064 is 4608672849.

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 9482768064.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305895729 + ... + 305895759.

Almost surely, 29482768064 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 9482768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039027200).

9482768064 is an abundant number, since it is smaller than the sum of its proper divisors (28595286336).

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

9482768064 is a wasteful number, since it uses less digits than its factorization.

9482768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9482768064 is about 97379.5053591874. The cubic root of 9482768064 is about 2116.6304654923.

The spelling of 9482768064 in words is "nine billion, four hundred eighty-two million, seven hundred sixty-eight thousand, sixty-four".