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12831445485 = 3254153131221
BaseRepresentation
bin10111111001101000…
…00101000111101101
31020010020121222010200
423330310011013231
5202234322223420
65521130224113
7632655326025
oct137464050755
936106558120
1012831445485
11549501aa01
1225a1285039
1312964a75c1
1489a210a85
15501759b90
hex2fcd051ed

12831445485 has 48 divisors (see below), whose sum is σ = 23213696688. Its totient is φ = 6550502400.

The previous prime is 12831445483. The next prime is 12831445489. The reversal of 12831445485 is 58454413821.

12831445485 is a `hidden beast` number, since 1 + 28 + 3 + 144 + 5 + 485 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64931364 + 12766514121 = 8058^2 + 112989^2 .

It is not a de Polignac number, because 12831445485 - 21 = 12831445483 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 12831445485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12831445481) 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 47 ways as a sum of consecutive naturals, for example, 32175 + ... + 163395.

It is an arithmetic number, because the mean of its divisors is an integer number (483618681).

Almost surely, 212831445485 is an apocalyptic number.

12831445485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12831445485 is a deficient number, since it is larger than the sum of its proper divisors (10382251203).

12831445485 is a wasteful number, since it uses less digits than its factorization.

12831445485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131326 (or 131323 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 12831445485 in words is "twelve billion, eight hundred thirty-one million, four hundred forty-five thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 53 123 159 205 265 369 477 615 795 1845 2173 2385 6519 10865 19557 32595 97785 131221 393663 656105 1180989 1968315 5380061 5904945 6954713 16140183 20864139 26900305 34773565 48420549 62592417 80700915 104320695 242102745 285143233 312962085 855429699 1425716165 2566289097 4277148495 12831445485