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20205442215 = 3257431491727
BaseRepresentation
bin10010110100010101…
…101001010010100111
31221011011002210222200
4102310111221102213
5312340043122330
613140544425543
71313465265540
oct226425512247
957134083880
1020205442215
118629499882
123aba9182b3
131ba011908a
14d996c34c7
157d3ceca60
hex4b45694a7

20205442215 has 48 divisors (see below), whose sum is σ = 40956883968. Its totient is φ = 9021958848.

The previous prime is 20205442211. The next prime is 20205442217. The reversal of 20205442215 is 51224450202.

20205442215 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 5 + 442 + 215 = 666.

It is not a de Polignac number, because 20205442215 - 22 = 20205442211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205442211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 732319 + ... + 759408.

It is an arithmetic number, because the mean of its divisors is an integer number (853268416).

Almost surely, 220205442215 is an apocalyptic number.

20205442215 is an abundant number, since it is smaller than the sum of its proper divisors (20751441753).

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

20205442215 is a wasteful number, since it uses less digits than its factorization.

20205442215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491788 (or 1491785 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 20205442215 its reverse (51224450202), we get a palindrome (71429892417).

The spelling of 20205442215 in words is "twenty billion, two hundred five million, four hundred forty-two thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 13545 1491727 4475181 7458635 10442089 13425543 22375905 31326267 52210445 64144261 67127715 93978801 156631335 192432783 320721305 449009827 469894005 577298349 962163915 1347029481 2245049135 2886491745 4041088443 6735147405 20205442215