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2261650465540 = 225611853811857
BaseRepresentation
bin100000111010010100110…
…111110110001100000100
322000012201022100200022001
4200322110313312030010
5244023330004344130
64450553214315044
7322253543523454
oct40722467661404
98005638320261
102261650465540
117a21847aa254
123063a61b8a84
1313537123574b
147b6706d3d64
153dc6da216ca
hex20e94df6304

2261650465540 has 24 divisors (see below), whose sum is σ = 4827326078232. Its totient is φ = 889829690880.

The previous prime is 2261650465519. The next prime is 2261650465541. The reversal of 2261650465540 is 455640561622.

It can be written as a sum of positive squares in 4 ways, for example, as 12664351296 + 2248986114244 = 112536^2 + 1499662^2 .

It is not an unprimeable number, because it can be changed into a prime (2261650465541) 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 7 ways as a sum of consecutive naturals, for example, 926904709 + ... + 926907148.

It is an arithmetic number, because the mean of its divisors is an integer number (201138586593).

Almost surely, 22261650465540 is an apocalyptic number.

2261650465540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261650465540 is an abundant number, since it is smaller than the sum of its proper divisors (2565675612692).

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

2261650465540 is a wasteful number, since it uses less digits than its factorization.

2261650465540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853811927 (or 1853811925 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 2261650465540 in words is "two trillion, two hundred sixty-one billion, six hundred fifty million, four hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1853811857 3707623714 7415247428 9269059285 18538118570 37076237140 113082523277 226165046554 452330093108 565412616385 1130825232770 2261650465540