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12780518689 = 17291012231151
BaseRepresentation
bin10111110011100011…
…10011110100100001
31012222200210121201001
423321301303310201
5202133303044224
65512110512001
7631466421301
oct137161636441
935880717631
1012780518689
1154692a6944
122588205601
131288a863c3
14893555601
154ec04a544
hex2f9c73d21

12780518689 has 32 divisors (see below), whose sum is σ = 14213283840. Its totient is φ = 11437440000.

The previous prime is 12780518683. The next prime is 12780518711. The reversal of 12780518689 is 98681508721.

It is a cyclic number.

It is not a de Polignac number, because 12780518689 - 27 = 12780518561 is a prime.

It is a super-3 number, since 3×127805186893 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12780518683) 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 31 ways as a sum of consecutive naturals, for example, 11103264 + ... + 11104414.

It is an arithmetic number, because the mean of its divisors is an integer number (444165120).

Almost surely, 212780518689 is an apocalyptic number.

It is an amenable number.

12780518689 is a deficient number, since it is larger than the sum of its proper divisors (1432765151).

12780518689 is a wasteful number, since it uses less digits than its factorization.

12780518689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521.

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 12780518689 in words is "twelve billion, seven hundred eighty million, five hundred eighteen thousand, six hundred eighty-nine".

Divisors: 1 17 29 101 223 493 1151 1717 2929 3791 6467 19567 22523 33379 49793 109939 116251 256673 382891 567443 653167 1976267 3371279 4363441 7443517 11103839 25923973 57311743 126539789 440707541 751795217 12780518689