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985380864 = 211313373
BaseRepresentation
bin111010101110111…
…011100000000000
32112200011112102120
4322232323200000
54004224141424
6241440044240
733263412336
oct7256734000
92480145376
10985380864
11466249256
12236003680
131291bc000
1494c23b56
155b794a79
hex3abbb800

985380864 has 192 divisors, whose sum is σ = 2884845600. Its totient is φ = 299040768.

The previous prime is 985380863. The next prime is 985380871. The reversal of 985380864 is 468083589.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985380863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13498332 + ... + 13498404.

Almost surely, 2985380864 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 985380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442422800).

985380864 is an abundant number, since it is smaller than the sum of its proper divisors (1899464736).

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

985380864 is an equidigital number, since it uses as much as digits as its factorization.

985380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 985380864 is about 31390.7767345760. The cubic root of 985380864 is about 995.1030133323.

The spelling of 985380864 in words is "nine hundred eighty-five million, three hundred eighty thousand, eight hundred sixty-four".