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12982919669 = 1713742113241
BaseRepresentation
bin11000001011101011…
…11010000111110101
31020111210122122122122
430011311322013311
5203042111412134
65544141005325
7636504665516
oct140565720765
936453578578
1012982919669
115562579785
122623b53845
1312bb9a14b5
148b23a0a0d
1550ebcb02e
hex305d7a1f5

12982919669 has 16 divisors (see below), whose sum is σ = 13880900016. Its totient is φ = 12100300800.

The previous prime is 12982919647. The next prime is 12982919671. The reversal of 12982919669 is 96691928921.

It can be written as a sum of positive squares in 8 ways, for example, as 469588900 + 12513330769 = 21670^2 + 111863^2 .

It is not a de Polignac number, because 12982919669 - 28 = 12982919413 is a prime.

It is a super-2 number, since 2×129829196692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982919639) 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 15 ways as a sum of consecutive naturals, for example, 973889 + ... + 987129.

It is an arithmetic number, because the mean of its divisors is an integer number (867556251).

Almost surely, 212982919669 is an apocalyptic number.

It is an amenable number.

12982919669 is a deficient number, since it is larger than the sum of its proper divisors (897980347).

12982919669 is a wasteful number, since it uses less digits than its factorization.

12982919669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816.

The product of its digits is 7558272, while the sum is 62.

The spelling of 12982919669 in words is "twelve billion, nine hundred eighty-two million, nine hundred nineteen thousand, six hundred sixty-nine".

Divisors: 1 17 137 421 2329 7157 13241 57677 225097 980509 1814017 5574461 30838289 94765837 763701157 12982919669