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12429616514 = 272930614819
BaseRepresentation
bin10111001001101110…
…01110010110000010
31012002020111221102012
423210313032112002
5200423440212024
65413213452522
7620005666010
oct134467162602
935066457365
1012429616514
1152a9215947
1224aa7a1142
131231175693
1485cad18b0
154cb33450e
hex2e4dce582

12429616514 has 16 divisors (see below), whose sum is σ = 22042670400. Its totient is φ = 5143289424.

The previous prime is 12429616499. The next prime is 12429616523. The reversal of 12429616514 is 41561692421.

12429616514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15307004 + ... + 15307815.

It is an arithmetic number, because the mean of its divisors is an integer number (1377666900).

Almost surely, 212429616514 is an apocalyptic number.

12429616514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12429616514 is a deficient number, since it is larger than the sum of its proper divisors (9613053886).

12429616514 is a wasteful number, since it uses less digits than its factorization.

12429616514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30614857.

The product of its digits is 103680, while the sum is 41.

The spelling of 12429616514 in words is "twelve billion, four hundred twenty-nine million, six hundred sixteen thousand, five hundred fourteen".

Divisors: 1 2 7 14 29 58 203 406 30614819 61229638 214303733 428607466 887829751 1775659502 6214808257 12429616514