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26553114052661 = 723753276338749
BaseRepresentation
bin1100000100110011000001…
…11011100100100000110101
310111000110020011200012121002
412002121200323210200311
511440021234144141121
6132250155430533045
75410253630302100
oct602314073444065
9114013204605532
1026553114052661
11850812670a879
122b8a208207185
1311a7c42739711
1467b26b3b5737
15310a928b8e0b
hex182660ee4835

26553114052661 has 24 divisors (see below), whose sum is σ = 32321685555000. Its totient is φ = 21726857722752.

The previous prime is 26553114052537. The next prime is 26553114052721. The reversal of 26553114052661 is 16625041135562.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7327686580900 + 19225427471761 = 2706970^2 + 4384681^2 .

It is not a de Polignac number, because 26553114052661 - 210 = 26553114051637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26553114012661) 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 23 ways as a sum of consecutive naturals, for example, 138073286 + ... + 138265463.

It is an arithmetic number, because the mean of its divisors is an integer number (1346736898125).

Almost surely, 226553114052661 is an apocalyptic number.

It is an amenable number.

26553114052661 is a deficient number, since it is larger than the sum of its proper divisors (5768571502339).

26553114052661 is a wasteful number, since it uses less digits than its factorization.

26553114052661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276338853 (or 276338846 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 26553114052661 in words is "twenty-six trillion, five hundred fifty-three billion, one hundred fourteen million, fifty-two thousand, six hundred sixty-one".

Divisors: 1 7 37 49 53 259 371 1813 1961 2597 13727 96089 276338749 1934371243 10224533713 13540598701 14645953697 71571735991 102521675879 501002151937 541900286789 717651731153 3793302007523 26553114052661