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86233342825 = 5272347599761
BaseRepresentation
bin101000001001111101…
…0000110001101101001
322020120202020200212001
41100103322012031221
52403101213432300
6103340503451001
76141641214520
oct1202372061551
9266522220761
1086233342825
1133631523883
1214867456a61
138193660556
1442609694b7
15239a84a16a
hex1413e86369

86233342825 has 96 divisors (see below), whose sum is σ = 130620211200. Its totient is φ = 55192051200.

The previous prime is 86233342823. The next prime is 86233342831. The reversal of 86233342825 is 52824333268.

It is not a de Polignac number, because 86233342825 - 21 = 86233342823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86233342823) 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 95 ways as a sum of consecutive naturals, for example, 113315445 + ... + 113316205.

It is an arithmetic number, because the mean of its divisors is an integer number (1360627200).

Almost surely, 286233342825 is an apocalyptic number.

It is an amenable number.

86233342825 is a deficient number, since it is larger than the sum of its proper divisors (44386868375).

86233342825 is a wasteful number, since it uses less digits than its factorization.

86233342825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1442 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 86233342825 in words is "eighty-six billion, two hundred thirty-three million, three hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 5 7 23 25 35 47 115 161 175 235 329 575 599 761 805 1081 1175 1645 2995 3805 4025 4193 5327 5405 7567 8225 13777 14975 17503 19025 20965 26635 27025 28153 35767 37835 68885 87515 96439 104825 122521 133175 140765 178835 189175 197071 250369 344425 437575 455839 482195 612605 647519 703825 822641 894175 985355 1251845 2279195 2410975 3063025 3190873 3237595 4113205 4532633 4926775 5758487 6259225 10484297 11395975 15954365 16187975 20566025 21424433 22663165 28792435 52421485 73390079 79771825 107122165 113315825 143962175 149971031 262107425 366950395 492761959 535610825 749855155 1834751975 2463809795 3449333713 3749275775 12319048975 17246668565 86233342825