Search a number
-
+
12286733382057 = 319563797480391
BaseRepresentation
bin1011001011001011101001…
…1000001111000110101001
31121111121012120112010000110
42302302322120033012221
53102301212221211212
642044240345324533
72405454464363421
oct262627230170651
947447176463013
1012286733382057
113a07857752742
121465302196749
136b1831b391b4
14306976bd1481
15164915a64a3c
hexb2cba60f1a9

12286733382057 has 32 divisors (see below), whose sum is σ = 17296879057920. Its totient is φ = 7736523382080.

The previous prime is 12286733382023. The next prime is 12286733382059. The reversal of 12286733382057 is 75028333768221.

12286733382057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12286733382057 - 219 = 12286732857769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 12286733381988 and 12286733382006.

It is not an unprimeable number, because it can be changed into a prime (12286733382059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25336332 + ... + 25816722.

It is an arithmetic number, because the mean of its divisors is an integer number (540527470560).

Almost surely, 212286733382057 is an apocalyptic number.

It is an amenable number.

12286733382057 is a deficient number, since it is larger than the sum of its proper divisors (5010145675863).

12286733382057 is a wasteful number, since it uses less digits than its factorization.

12286733382057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481773.

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 12286733382057 in words is "twelve trillion, two hundred eighty-six billion, seven hundred thirty-three million, three hundred eighty-two thousand, fifty-seven".

Divisors: 1 3 19 57 563 797 1689 2391 10697 15143 32091 45429 448711 480391 1346133 1441173 8525509 9127429 25576527 27382287 270460133 382871627 811380399 1148614881 5138742527 7274560913 15416227581 21823682739 215556726001 646670178003 4095577794019 12286733382057