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13652045580753 = 322935177112469
BaseRepresentation
bin1100011010101001110101…
…0100111100100111010001
31210100010022112022000122200
43012222131110330213101
53242133342132041003
645011355124153413
72606220262524426
oct306523524744721
953303275260580
1013652045580753
114393888905448
121645a36538869
137804c80cb748
14352a9655bd4d
1518a1c37626a3
hexc6a9d53c9d1

13652045580753 has 12 divisors (see below), whose sum is σ = 19786923860340. Its totient is φ = 9070301043936.

The previous prime is 13652045580743. The next prime is 13652045580779. The reversal of 13652045580753 is 35708554025631.

13652045580753 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 2 + 0 + 4 + 5 + 580 + 7 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7574869053504 + 6077176527249 = 2752248^2 + 2465193^2 .

It is not a de Polignac number, because 13652045580753 - 212 = 13652045576657 is a prime.

It is a super-3 number, since 3×136520455807533 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13652045580753.

It is not an unprimeable number, because it can be changed into a prime (13652045580743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2588553598 + ... + 2588558871.

It is an arithmetic number, because the mean of its divisors is an integer number (1648910321695).

Almost surely, 213652045580753 is an apocalyptic number.

It is an amenable number.

13652045580753 is a deficient number, since it is larger than the sum of its proper divisors (6134878279587).

13652045580753 is a wasteful number, since it uses less digits than its factorization.

13652045580753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177112768 (or 5177112765 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 13652045580753 in words is "thirteen trillion, six hundred fifty-two billion, forty-five million, five hundred eighty thousand, seven hundred fifty-three".

Divisors: 1 3 9 293 879 2637 5177112469 15531337407 46594012221 1516893953417 4550681860251 13652045580753