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885104064 = 26331331241
BaseRepresentation
bin110100110000011…
…001110111000000
32021200110221112000
4310300121313000
53303041312224
6223454504000
730635155215
oct6460316700
92250427460
10885104064
11414688869
12208505000
131114ac520
148579db0c
1552a880c9
hex34c19dc0

885104064 has 336 divisors, whose sum is σ = 2966130720. Its totient is φ = 257126400.

The previous prime is 885104063. The next prime is 885104111. The reversal of 885104064 is 460401588.

885104064 is a `hidden beast` number, since 88 + 510 + 4 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (885104063) 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 47 ways as a sum of consecutive naturals, for example, 21587884 + ... + 21587924.

It is an arithmetic number, because the mean of its divisors is an integer number (8827770).

Almost surely, 2885104064 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 885104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483065360).

885104064 is an abundant number, since it is smaller than the sum of its proper divisors (2081026656).

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

885104064 is a wasteful number, since it uses less digits than its factorization.

885104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 885104064 is about 29750.6985464207. The cubic root of 885104064 is about 960.1331065436.

The spelling of 885104064 in words is "eight hundred eighty-five million, one hundred four thousand, sixty-four".