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5282565025000 = 2355853247717
BaseRepresentation
bin100110011011111000101…
…1010010110110011101000
3200201000020001001122201111
41030313301122112303220
51143022143121300000
615122435445400104
71053436612562554
oct114676132266350
920630201048644
105282565025000
11175736127100a
12713968409034
132c41b3a63903
1414396b13c864
1592629436cba
hex4cdf1696ce8

5282565025000 has 96 divisors (see below), whose sum is σ = 12394783167480. Its totient is φ = 2110540320000.

The previous prime is 5282565024967. The next prime is 5282565025009. The reversal of 5282565025000 is 5205652825.

It can be written as a sum of positive squares in 12 ways, for example, as 5055041748964 + 227523276036 = 2248342^2 + 476994^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5282565025009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21201142 + ... + 21448858.

Almost surely, 25282565025000 is an apocalyptic number.

5282565025000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5282565025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197391583740).

5282565025000 is an abundant number, since it is smaller than the sum of its proper divisors (7112218142480).

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

5282565025000 is an equidigital number, since it uses as much as digits as its factorization.

5282565025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248601 (or 248577 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 5282565025000 in words is "five trillion, two hundred eighty-two billion, five hundred sixty-five million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 853 1000 1250 1706 2500 3125 3412 4265 5000 6250 6824 8530 12500 17060 21325 25000 34120 42650 85300 106625 170600 213250 247717 426500 495434 533125 853000 990868 1066250 1238585 1981736 2132500 2477170 2665625 4265000 4954340 5331250 6192925 9908680 10662500 12385850 21325000 24771700 30964625 49543400 61929250 123858500 154823125 211302601 247717000 309646250 422605202 619292500 774115625 845210404 1056513005 1238585000 1548231250 1690420808 2113026010 3096462500 4226052020 5282565025 6192925000 8452104040 10565130050 21130260100 26412825125 42260520200 52825650250 105651300500 132064125625 211302601000 264128251250 528256502500 660320628125 1056513005000 1320641256250 2641282512500 5282565025000