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12614741064017 = 1729239310692733
BaseRepresentation
bin1011011110010001100100…
…1010001111100101010001
31122122221211222211210120122
42313210121022033211101
53123134442203022032
642455044304320025
72441246020566401
oct267443112174521
948587758753518
1012614741064017
114023977512a34
1214b89a3313015
13706746345281
143187b1922801
1516d211ea6012
hexb791928f951

12614741064017 has 16 divisors (see below), whose sum is σ = 13823138805840. Its totient is φ = 11458502694912.

The previous prime is 12614741063887. The next prime is 12614741064031. The reversal of 12614741064017 is 71046014741621.

It is a happy number.

12614741064017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2291012204881 + 10323728859136 = 1513609^2 + 3213056^2 .

It is a cyclic number.

It is not a de Polignac number, because 12614741064017 - 228 = 12614472628561 is a prime.

It is a super-2 number, since 2×126147410640172 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12614741060017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166618 + ... + 6526115.

It is an arithmetic number, because the mean of its divisors is an integer number (863946175365).

Almost surely, 212614741064017 is an apocalyptic number.

12614741064017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12614741064017 is a deficient number, since it is larger than the sum of its proper divisors (1208397741823).

12614741064017 is a wasteful number, since it uses less digits than its factorization.

12614741064017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695172.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 12614741064017 in words is "twelve trillion, six hundred fourteen billion, seven hundred forty-one million, sixty-four thousand, seventeen".

Divisors: 1 17 29 493 2393 40681 69397 1179749 10692733 181776461 310089257 5271517369 25587710069 434991071173 742043592001 12614741064017