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12782725017113 = 611363091537337
BaseRepresentation
bin1011101000000011010111…
…0010001010111000011001
31200021000110002021210021002
42322000311302022320121
53133413010101021423
643104145223354345
72456343561616652
oct272006562127031
950230402253232
1012782725017113
11408913a033237
1215254648b29b5
137195376c6c9c
14322989924529
1517279481e228
hexba035c8ae19

12782725017113 has 8 divisors (see below), whose sum is σ = 12992381652360. Its totient is φ = 12573071729280.

The previous prime is 12782725017109. The next prime is 12782725017193. The reversal of 12782725017113 is 31171052728721.

It can be written as a sum of positive squares in 4 ways, for example, as 123055027264 + 12659669989849 = 350792^2 + 3558043^2 .

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 12782725017113 - 22 = 12782725017109 is a prime.

It is a super-2 number, since 2×127827250171132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12782725017193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7546181 + ... + 9083517.

It is an arithmetic number, because the mean of its divisors is an integer number (1624047706545).

Almost surely, 212782725017113 is an apocalyptic number.

It is an amenable number.

12782725017113 is a deficient number, since it is larger than the sum of its proper divisors (209656635247).

12782725017113 is a wasteful number, since it uses less digits than its factorization.

12782725017113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673707.

The product of its (nonzero) digits is 329280, while the sum is 47.

The spelling of 12782725017113 in words is "twelve trillion, seven hundred eighty-two billion, seven hundred twenty-five million, seventeen thousand, one hundred thirteen".

Divisors: 1 61 136309 1537337 8314849 93777557 209552869133 12782725017113