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6564026340 = 2232536466813
BaseRepresentation
bin1100001110011111…
…10001011111100100
3121221110101002100200
412013033301133210
5101420342320330
63003201510500
7321443206014
oct60717613744
917843332320
106564026340
112869249163
121332342430
13807baa671
14463aadc44
152863eba60
hex1873f17e4

6564026340 has 36 divisors (see below), whose sum is σ = 19910880444. Its totient is φ = 1750406976.

The previous prime is 6564026291. The next prime is 6564026341. The reversal of 6564026340 is 436204656.

6564026340 is a `hidden beast` number, since 6 + 5 + 640 + 2 + 6 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1851753024 + 4712273316 = 43032^2 + 68646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 6564026295 and 6564026304.

It is not an unprimeable number, because it can be changed into a prime (6564026341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18233227 + ... + 18233586.

Almost surely, 26564026340 is an apocalyptic number.

6564026340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6564026340 is an abundant number, since it is smaller than the sum of its proper divisors (13346854104).

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

6564026340 is a wasteful number, since it uses less digits than its factorization.

6564026340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36466828 (or 36466823 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6564026340 is about 81018.6789573861. The cubic root of 6564026340 is about 1872.3632355907.

The spelling of 6564026340 in words is "six billion, five hundred sixty-four million, twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 36466813 72933626 109400439 145867252 182334065 218800878 328201317 364668130 437601756 547002195 656402634 729336260 1094004390 1312805268 1641006585 2188008780 3282013170 6564026340