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427531570725 = 352717211227027
BaseRepresentation
bin1100011100010101101…
…11100000111000100101
31111212112102002001222110
412032022313200320211
524001041040230400
6524223313151233
742613426251030
oct6161267407045
91455472061873
10427531570725
11155351475a36
126aa3755b519
13314154a8bac
141699a858017
15b1c3980e50
hex638ade0e25

427531570725 has 96 divisors (see below), whose sum is σ = 859408137216. Its totient is φ = 183073766400.

The previous prime is 427531570693. The next prime is 427531570727. The reversal of 427531570725 is 527075135724.

It is not a de Polignac number, because 427531570725 - 25 = 427531570693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427531570727) by changing a digit.

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, 1769662 + ... + 1996688.

It is an arithmetic number, because the mean of its divisors is an integer number (8952168096).

Almost surely, 2427531570725 is an apocalyptic number.

It is an amenable number.

427531570725 is an abundant number, since it is smaller than the sum of its proper divisors (431876566491).

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

427531570725 is a wasteful number, since it uses less digits than its factorization.

427531570725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227275 (or 227270 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 427531570725 in words is "four hundred twenty-seven billion, five hundred thirty-one million, five hundred seventy thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 211 255 357 425 525 595 633 1055 1275 1477 1785 2975 3165 3587 4431 5275 7385 8925 10761 15825 17935 22155 25109 36925 53805 75327 89675 110775 125545 227027 269025 376635 627725 681081 1135135 1589189 1883175 3405405 3859459 4767567 5675675 7945945 11578377 17027025 19297295 23837835 27016213 39729725 47902697 57891885 81048639 96486475 119189175 135081065 143708091 239513485 289459425 335318879 405243195 675405325 718540455 814345849 1005956637 1197567425 1676594395 2026215975 2443037547 3592702275 4071729245 5029783185 5700420943 8382971975 12215187735 17101262829 20358646225 25148915925 28502104715 61075938675 85506314145 142510523575 427531570725