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20541530625 = 354711791801
BaseRepresentation
bin10011001000010111…
…101110001000000001
31222000120111212121120
4103020113232020001
5314032112440000
613234152142453
71325016062250
oct231027561001
958016455546
1020541530625
118791181aa0
123b93397a29
131c24941165
14dcc1ac797
158035896a0
hex4c85ee201

20541530625 has 160 divisors (see below), whose sum is σ = 43234160640. Its totient is φ = 8424000000.

The previous prime is 20541530579. The next prime is 20541530701. The reversal of 20541530625 is 52603514502.

It is not a de Polignac number, because 20541530625 - 27 = 20541530497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11404725 + ... + 11406525.

It is an arithmetic number, because the mean of its divisors is an integer number (270213504).

Almost surely, 220541530625 is an apocalyptic number.

20541530625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20541530625 is an abundant number, since it is smaller than the sum of its proper divisors (22692630015).

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

20541530625 is a wasteful number, since it uses less digits than its factorization.

20541530625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 20541530625 in words is "twenty billion, five hundred forty-one million, five hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 79 105 125 165 175 231 237 275 375 385 395 525 553 625 825 869 875 1155 1185 1375 1659 1801 1875 1925 1975 2607 2625 2765 4125 4345 4375 5403 5775 5925 6083 6875 8295 9005 9625 9875 12607 13035 13125 13825 18249 19811 20625 21725 27015 28875 29625 30415 37821 41475 45025 48125 49375 59433 63035 65175 69125 91245 99055 108625 135075 138677 142279 144375 148125 152075 189105 207375 225125 297165 315175 325875 345625 416031 426837 456225 495275 543125 675375 693385 711395 760375 945525 995953 1036875 1125625 1485825 1565069 1575875 1629375 2080155 2134185 2281125 2476375 2987859 3376875 3466925 3556975 3801875 4695207 4727625 4979765 7429125 7825345 7879375 10400775 10670925 10955483 11405625 12381875 14939295 17334625 17784875 23476035 23638125 24898825 32866449 37145625 39126725 52003875 53354625 54777415 74696475 86673125 88924375 117380175 124494125 164332245 195633625 260019375 266773125 273887075 373482375 586900875 622470625 821661225 978168125 1369435375 1867411875 2934504375 4108306125 6847176875 20541530625