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20085522525 = 32521729434211
BaseRepresentation
bin10010101101001100…
…001100000001011101
31220211210110021002200
4102231030030001131
5312113343210100
613121022242113
71310511060465
oct225514140135
956753407080
1020085522525
1185778323a2
123a86726339
131b8131c893
14d877c8ba5
157c8510e00
hex4ad30c05d

20085522525 has 144 divisors (see below), whose sum is σ = 40331079360. Its totient is φ = 9505843200.

The previous prime is 20085522487. The next prime is 20085522529. The reversal of 20085522525 is 52522558002.

20085522525 is a `hidden beast` number, since 2 + 0 + 0 + 85 + 52 + 2 + 525 = 666.

It is not a de Polignac number, because 20085522525 - 212 = 20085518429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20085522525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085522529) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4767670 + ... + 4771880.

It is an arithmetic number, because the mean of its divisors is an integer number (280076940).

Almost surely, 220085522525 is an apocalyptic number.

20085522525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20085522525 is an abundant number, since it is smaller than the sum of its proper divisors (20245556835).

20085522525 is a wasteful number, since it uses less digits than its factorization.

20085522525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 20085522525 in words is "twenty billion, eighty-five million, five hundred twenty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 43 45 51 75 85 87 129 145 153 215 225 255 261 387 425 435 493 645 725 731 765 1075 1247 1275 1305 1479 1935 2175 2193 2465 3225 3655 3741 3825 4211 4437 6235 6525 6579 7395 9675 10965 11223 12325 12633 18275 18705 21055 21199 22185 31175 32895 36975 37899 54825 56115 63165 63597 71587 93525 105275 105995 110925 122119 164475 181073 189495 190791 214761 280575 315825 317985 357935 366357 529975 543219 610595 644283 905365 947475 953955 1073805 1099071 1589925 1629657 1789675 1831785 2076023 2716095 3052975 3078241 3221415 4526825 4769775 5251117 5369025 5495355 6228069 8148285 9158925 9234723 10380115 13580475 15391205 15753351 16107075 18684207 26255585 27476775 27704169 31140345 40741425 46173615 47260053 51900575 76956025 78766755 89268989 93421035 131277925 138520845 155701725 230868075 236300265 267806967 393833775 446344945 467105175 692604225 803420901 1181501325 1339034835 2231724725 4017104505 6695174175 20085522525