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540263362045 = 51129990134211
BaseRepresentation
bin1111101110010100011…
…01001010110111111101
31220122111212211102112211
413313022031022313331
532322424410041140
61052105450500421
754014141543461
oct7671215126775
91818455742484
10540263362045
11199140646320
1288859134711
133bc3c940964
141c2127884a1
15e0c07dd2ea
hex7dca34adfd

540263362045 has 32 divisors (see below), whose sum is σ = 731737203840. Its totient is φ = 379320480000.

The previous prime is 540263362033. The next prime is 540263362063.

540263362045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540263362045 - 25 = 540263362013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540263361989 and 540263362007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15774990 + ... + 15809200.

It is an arithmetic number, because the mean of its divisors is an integer number (22866787620).

Almost surely, 2540263362045 is an apocalyptic number.

540263362045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540263362045 is a deficient number, since it is larger than the sum of its proper divisors (191473841795).

540263362045 is a wasteful number, since it uses less digits than its factorization.

540263362045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44157.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 540263362045 in words is "five hundred forty billion, two hundred sixty-three million, three hundred sixty-two thousand, forty-five".

Divisors: 1 5 11 29 55 145 319 1595 9901 34211 49505 108911 171055 287129 376321 544555 992119 1435645 1881605 3158419 4960595 10913309 15792095 54566545 338723111 1693615555 3725954221 9822970219 18629771105 49114851095 108052672409 540263362045