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27076023426045 = 3511234134370911
BaseRepresentation
bin1100010100000001000001…
…10000100001101111111101
310112212102221121220200002010
412022000200300201233331
512022103143444113140
6133330315313321433
75463115046525466
oct612004060415775
9115772847820063
1027076023426045
118699971398600
123053621566279
131215347c35419
146986b5055d6d
1531e4998a9880
hex18a020c21bfd

27076023426045 has 48 divisors (see below), whose sum is σ = 47631961069056. Its totient is φ = 13123919529600.

The previous prime is 27076023426043. The next prime is 27076023426149. The reversal of 27076023426045 is 54062432067072.

It is not a de Polignac number, because 27076023426045 - 21 = 27076023426043 is a prime.

It is a super-2 number, since 2×270760234260452 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27076023425985 and 27076023426003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27076023426043) 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 47 ways as a sum of consecutive naturals, for example, 4009140 + ... + 8380050.

It is an arithmetic number, because the mean of its divisors is an integer number (992332522272).

Almost surely, 227076023426045 is an apocalyptic number.

It is an amenable number.

27076023426045 is a deficient number, since it is larger than the sum of its proper divisors (20555937643011).

27076023426045 is a wasteful number, since it uses less digits than its factorization.

27076023426045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374354 (or 4374343 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 27076023426045 in words is "twenty-seven trillion, seventy-six billion, twenty-three million, four hundred twenty-six thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 3413 10239 17065 37543 51195 112629 187715 412973 563145 1238919 2064865 4370911 6194595 13112733 21854555 48080021 65563665 144240063 240400105 528880231 721200315 1586640693 2644401155 7933203465 14917919243 44753757729 74589596215 164097111673 223768788645 492291335019 820485558365 1805068228403 2461456675095 5415204685209 9025341142015 27076023426045