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540628826045 = 57111404230717
BaseRepresentation
bin1111101110111111111…
…11010011011110111101
31220200110100111220220112
413313133333103132331
532324201434413140
61052210023555405
754026200125260
oct7673777233675
91820410456815
10540628826045
11199308972890
128893b5bbb65
133bc9a57c749
141c24911ccd7
15e0e292dc65
hex7ddffd37bd

540628826045 has 16 divisors (see below), whose sum is σ = 808836893568. Its totient is φ = 337015371840.

The previous prime is 540628826039. The next prime is 540628826047.

540628826045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540628826045 - 26 = 540628825981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540628825984 and 540628826002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540628826047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702114974 + ... + 702115743.

It is an arithmetic number, because the mean of its divisors is an integer number (50552305848).

Almost surely, 2540628826045 is an apocalyptic number.

540628826045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540628826045 is a deficient number, since it is larger than the sum of its proper divisors (268208067523).

540628826045 is a wasteful number, since it uses less digits than its factorization.

540628826045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404230740.

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 540628826045 in words is "five hundred forty billion, six hundred twenty-eight million, eight hundred twenty-six thousand, forty-five".

Divisors: 1 5 7 11 35 55 77 385 1404230717 7021153585 9829615019 15446537887 49148075095 77232689435 108125765209 540628826045