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21540332340 = 22325119668513
BaseRepresentation
bin10100000011111001…
…110110001100110100
32001121011221020222200
4110003321312030310
5323103311113330
613521232024500
71361534542512
oct240371661464
961534836880
1021540332340
119153a5755a
124211992130
13205384baa7
141084ac74b2
158610d0a60
hex503e76334

21540332340 has 36 divisors (see below), whose sum is σ = 65339008644. Its totient is φ = 5744088576.

The previous prime is 21540332339. The next prime is 21540332377. The reversal of 21540332340 is 4323304512.

21540332340 is a `hidden beast` number, since 21 + 5 + 403 + 3 + 234 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3526934544 + 18013397796 = 59388^2 + 134214^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59834077 + ... + 59834436.

Almost surely, 221540332340 is an apocalyptic number.

21540332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21540332340 is an abundant number, since it is smaller than the sum of its proper divisors (43798676304).

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

21540332340 is a wasteful number, since it uses less digits than its factorization.

21540332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119668528 (or 119668523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 21540332340 its reverse (4323304512), we get a palindrome (25863636852).

The spelling of 21540332340 in words is "twenty-one billion, five hundred forty million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 119668513 239337026 359005539 478674052 598342565 718011078 1077016617 1196685130 1436022156 1795027695 2154033234 2393370260 3590055390 4308066468 5385083085 7180110780 10770166170 21540332340