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8429540283117 = 34823392332233
BaseRepresentation
bin111101010101010011111…
…0000010001001011101101
31002211212010011012122020000
41322222213300101023231
52101102144303024432
625532251035014513
71530004603116522
oct172524760211355
932755104178200
108429540283117
11275aa47806558
12b4184bb9a439
13491b962a7b65
14211dc5bbd149
15e9411e2a57c
hex7aaa7c112ed

8429540283117 has 40 divisors (see below), whose sum is σ = 12611181680064. Its totient is φ = 5611260370752.

The previous prime is 8429540283113. The next prime is 8429540283167. The reversal of 8429540283117 is 7113820459248.

8429540283117 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 540 + 2 + 83 + 1 + 17 = 666.

It is not a de Polignac number, because 8429540283117 - 22 = 8429540283113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8429540283113) 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 39 ways as a sum of consecutive naturals, for example, 261502833 + ... + 261535065.

Almost surely, 28429540283117 is an apocalyptic number.

It is an amenable number.

8429540283117 is a deficient number, since it is larger than the sum of its proper divisors (4181641396947).

8429540283117 is a wasteful number, since it uses less digits than its factorization.

8429540283117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36991 (or 36982 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8429540283117 in words is "eight trillion, four hundred twenty-nine billion, five hundred forty million, two hundred eighty-three thousand, one hundred seventeen".

Divisors: 1 3 9 27 81 823 2469 3923 7407 11769 22221 32233 35307 66663 96699 105921 290097 317763 870291 2610873 3228629 9685887 26527759 29057661 79583277 87172983 126450059 238749831 261518949 379350177 716249493 1138050531 2148748479 3414151593 10242454779 104068398557 312205195671 936615587013 2809846761039 8429540283117