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27451031146343 = 731223439566161
BaseRepresentation
bin1100011110111011100001…
…11101011100111101100111
310121012021220120002200111222
412033131300331130331213
512044224202433140333
6134214455110250555
75532162066541340
oct617356075347547
9117167816080458
1027451031146343
118823a0a487292
1230b423a956a5b
13124180c81127c
146ac8cbcc10c7
153290e7108298
hex18f770f5cf67

27451031146343 has 16 divisors (see below), whose sum is σ = 32384828743680. Its totient is φ = 22770298454400.

The previous prime is 27451031146339. The next prime is 27451031146351. The reversal of 27451031146343 is 34364113015472.

It is a happy number.

It is not a de Polignac number, because 27451031146343 - 22 = 27451031146339 is a prime.

It is a super-2 number, since 2×274510311463432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27451031146294 and 27451031146303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27451031146333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48203183 + ... + 48769343.

It is an arithmetic number, because the mean of its divisors is an integer number (2024051796480).

Almost surely, 227451031146343 is an apocalyptic number.

27451031146343 is a deficient number, since it is larger than the sum of its proper divisors (4933797597337).

27451031146343 is a wasteful number, since it uses less digits than its factorization.

27451031146343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789638.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 27451031146343 in words is "twenty-seven trillion, four hundred fifty-one billion, thirty-one million, one hundred forty-six thousand, three hundred forty-three".

Divisors: 1 7 31 217 223439 566161 1564073 3963127 6926609 17550991 48486263 122856937 126502447679 885517133753 3921575878049 27451031146343