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12472017137 = 149577145069
BaseRepresentation
bin10111001110110001…
…11110000011110001
31012012012022010010122
423213120332003301
5201020314022022
65421330340025
7621032252666
oct134730760361
935165263118
1012472017137
115320146088
122500a2a615
131239b9cac8
148645aba6d
154cee0c742
hex2e763e0f1

12472017137 has 8 divisors (see below), whose sum is σ = 12577569000. Its totient is φ = 12366756864.

The previous prime is 12472017133. The next prime is 12472017143. The reversal of 12472017137 is 73171027421.

It can be written as a sum of positive squares in 4 ways, for example, as 3381538801 + 9090478336 = 58151^2 + 95344^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12472017137 - 22 = 12472017133 is a prime.

It is a super-3 number, since 3×124720171373 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12472017097 and 12472017106.

It is not an unprimeable number, because it can be changed into a prime (12472017133) 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 7 ways as a sum of consecutive naturals, for example, 13439 + ... + 158507.

It is an arithmetic number, because the mean of its divisors is an integer number (1572196125).

Almost surely, 212472017137 is an apocalyptic number.

It is an amenable number.

12472017137 is a deficient number, since it is larger than the sum of its proper divisors (105551863).

12472017137 is a wasteful number, since it uses less digits than its factorization.

12472017137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145795.

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 12472017137 in words is "twelve billion, four hundred seventy-two million, seventeen thousand, one hundred thirty-seven".

Divisors: 1 149 577 85973 145069 21615281 83704813 12472017137