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56024133142065 = 3511615566232801
BaseRepresentation
bin11001011110100001000101…
…00011100000011000110001
321100100212002011110110022120
430233100202203200120301
524320344411041021230
6315053044221224453
714541416150311134
oct1457204243403061
9240325064413276
1056024133142065
111693a779681350
126349a28a02129
13253508c827a9a
14db98225b021b
156724b2638310
hex32f4228e0631

56024133142065 has 32 divisors (see below), whose sum is σ = 99390652912512. Its totient is φ = 26717917440000.

The previous prime is 56024133142049. The next prime is 56024133142073.

56024133142065 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56024133142065 - 24 = 56024133142049 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2783106336 + ... + 2783126465.

It is an arithmetic number, because the mean of its divisors is an integer number (3105957903516).

Almost surely, 256024133142065 is an apocalyptic number.

56024133142065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56024133142065 is a deficient number, since it is larger than the sum of its proper divisors (43366519770447).

56024133142065 is a wasteful number, since it uses less digits than its factorization.

56024133142065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566232881.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 5602413 and 3142065, that added together give a palindrome (8744478).

The spelling of 56024133142065 in words is "fifty-six trillion, twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 671 915 2013 3355 10065 5566232801 16698698403 27831164005 61228560811 83493492015 183685682433 306142804055 339540200861 918428412165 1018620602583 1697701004305 3734942209471 5093103012915 11204826628413 18674711047355 56024133142065