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12831445665 = 32597109149181
BaseRepresentation
bin10111111001101000…
…00101001010100001
31020010020121222101100
423330310011022201
5202234322230130
65521130225013
7632655326403
oct137464051241
936106558340
1012831445665
115495020055
1225a1285169
1312964a76cc
1489a210b73
15501759c60
hex2fcd052a1

12831445665 has 96 divisors (see below), whose sum is σ = 22954932000. Its totient is φ = 6628884480.

The previous prime is 12831445651. The next prime is 12831445667. The reversal of 12831445665 is 56654413821.

12831445665 is a `hidden beast` number, since 1 + 2 + 83 + 1 + 4 + 4 + 566 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8442118161 + 4389327504 = 91881^2 + 66252^2 .

It is not a de Polignac number, because 12831445665 - 210 = 12831444641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12831445665.

It is not an unprimeable number, because it can be changed into a prime (12831445667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70891875 + ... + 70892055.

It is an arithmetic number, because the mean of its divisors is an integer number (239113875).

Almost surely, 212831445665 is an apocalyptic number.

12831445665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12831445665 is a deficient number, since it is larger than the sum of its proper divisors (10123486335).

12831445665 is a wasteful number, since it uses less digits than its factorization.

12831445665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 12831445665 in words is "twelve billion, eight hundred thirty-one million, four hundred forty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 97 109 149 181 291 327 447 485 543 545 745 873 905 981 1341 1455 1629 1635 2235 2715 4365 4905 6705 8145 10573 14453 16241 17557 19729 26969 31719 43359 48723 52671 52865 59187 72265 80907 81205 87785 95157 98645 130077 134845 146169 158013 158595 177561 216795 242721 243615 263355 295935 404535 475785 650385 730845 790065 887805 1213605 1575377 1913713 2615993 2939621 4726131 5741139 7847979 7876885 8818863 9568565 13079965 14178393 14698105 17223417 23543937 23630655 26456589 28705695 39239895 44094315 70891965 86117085 117719685 132282945 285143237 855429711 1425716185 2566289133 4277148555 12831445665