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845668864 = 296127077
BaseRepresentation
bin110010011001111…
…110001000000000
32011221021102121001
4302121332020000
53212442400424
6215525341344
726646031615
oct6231761000
92157242531
10845668864
113a43a3597
121b7267854
13106282aa1
148045650c
154e398844
hex3267e200

845668864 has 40 divisors (see below), whose sum is σ = 1717449228. Its totient is φ = 415887360.

The previous prime is 845668861. The next prime is 845668867. The reversal of 845668864 is 468866548.

It is an interprime number because it is at equal distance from previous prime (845668861) and next prime (845668867).

It can be written as a sum of positive squares in 2 ways, for example, as 834054400 + 11614464 = 28880^2 + 3408^2 .

It is not an unprimeable number, because it can be changed into a prime (845668861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17694 + ... + 44770.

Almost surely, 2845668864 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 845668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858724614).

845668864 is an abundant number, since it is smaller than the sum of its proper divisors (871780364).

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

845668864 is an equidigital number, since it uses as much as digits as its factorization.

845668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27156 (or 27140 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 55.

The square root of 845668864 is about 29080.3862422768. The cubic root of 845668864 is about 945.6565760834.

The spelling of 845668864 in words is "eight hundred forty-five million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3904 7808 15616 27077 31232 54154 108308 216616 433232 866464 1651697 1732928 3303394 3465856 6606788 6931712 13213576 13863424 26427152 52854304 105708608 211417216 422834432 845668864