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7145285824 = 26417934469
BaseRepresentation
bin1101010011110010…
…00110100011000000
3200102222010010110201
412221321012203000
5104113143121244
63141004134544
7342031633045
oct65171064300
920388103421
107145285824
113037366aa6
121474b37454
1389b4441a1
144bad791cc
152bc466ad4
hex1a9e468c0

7145285824 has 56 divisors (see below), whose sum is σ = 14709038400. Its totient is φ = 3441285120.

The previous prime is 7145285803. The next prime is 7145285831. The reversal of 7145285824 is 4285825417.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190062 + ... + 224530.

It is an arithmetic number, because the mean of its divisors is an integer number (262661400).

Almost surely, 27145285824 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 7145285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354519200).

7145285824 is an abundant number, since it is smaller than the sum of its proper divisors (7563752576).

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

7145285824 is a wasteful number, since it uses less digits than its factorization.

7145285824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34601 (or 34591 counting only the distinct ones).

The product of its digits is 716800, while the sum is 46.

The square root of 7145285824 is about 84529.7925231099. The cubic root of 7145285824 is about 1926.0750344495.

The spelling of 7145285824 in words is "seven billion, one hundred forty-five million, two hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 79 82 158 164 316 328 632 656 1264 1312 2528 2624 3239 5056 6478 12956 25912 34469 51824 68938 103648 137876 207296 275752 551504 1103008 1413229 2206016 2723051 2826458 5446102 5652916 10892204 11305832 21784408 22611664 43568816 45223328 87137632 90446656 111645091 174275264 223290182 446580364 893160728 1786321456 3572642912 7145285824