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20540454525 = 3352137389571
BaseRepresentation
bin10011001000010011…
…100111011001111101
31222000111111012111000
4103020103213121331
5314031324021100
613234113120513
71325003661033
oct231023473175
958014435430
1020540454525
118790607558
123b92b59139
131c24655406
14dcbdac553
15803425900
hex4c84e767d

20540454525 has 96 divisors (see below), whose sum is σ = 38173449600. Its totient is φ = 10827993600.

The previous prime is 20540454499. The next prime is 20540454541. The reversal of 20540454525 is 52545404502.

20540454525 is a `hidden beast` number, since 20 + 540 + 45 + 4 + 52 + 5 = 666.

It is not a de Polignac number, because 20540454525 - 27 = 20540454397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20540454525.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35972490 + ... + 35973060.

It is an arithmetic number, because the mean of its divisors is an integer number (397640100).

Almost surely, 220540454525 is an apocalyptic number.

20540454525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20540454525 is a deficient number, since it is larger than the sum of its proper divisors (17632995075).

20540454525 is a wasteful number, since it uses less digits than its factorization.

20540454525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 20540454525 in words is "twenty billion, five hundred forty million, four hundred fifty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 137 225 389 411 571 675 685 1167 1233 1713 1945 2055 2855 3425 3501 3699 5139 5835 6165 8565 9725 10275 10503 14275 15417 17505 18495 25695 29175 30825 42825 52515 53293 77085 78227 87525 92475 128475 159879 222119 234681 262575 266465 385425 391135 479637 666357 704043 799395 1110595 1173405 1332325 1438911 1955675 1999071 2112129 2398185 3331785 3520215 3996975 5552975 5867025 5997213 7194555 9995355 10560645 11990925 16658925 17601075 29986065 30430303 35972775 49976775 52803225 91290909 149930325 152151515 273872727 456454545 760757575 821618181 1369363635 2282272725 4108090905 6846818175 20540454525