Search a number
-
+
34836232781047 = 1729101749694471
BaseRepresentation
bin1111110101110111100010…
…10001111011110011110111
311120100022101221220012000111
413322323301101323303313
514031224101042443142
6202031313331523451
710223556215636455
oct772736121736367
9146308357805014
1034836232781047
1110110a66254065
123aa75b3a59587
131659072939259
14886122b819d5
15406284e69e17
hex1faef147bcf7

34836232781047 has 16 divisors (see below), whose sum is σ = 38157764040000. Its totient is φ = 31656098234880.

The previous prime is 34836232781023. The next prime is 34836232781123. The reversal of 34836232781047 is 74018723263843.

It is a cyclic number.

It is not a de Polignac number, because 34836232781047 - 27 = 34836232780919 is a prime.

It is a super-2 number, since 2×348362327810472 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34836232780982 and 34836232781000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34836232781347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49815022 + ... + 50509492.

It is an arithmetic number, because the mean of its divisors is an integer number (2384860252500).

Almost surely, 234836232781047 is an apocalyptic number.

34836232781047 is a deficient number, since it is larger than the sum of its proper divisors (3321531258953).

34836232781047 is a wasteful number, since it uses less digits than its factorization.

34836232781047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796266.

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 34836232781047 in words is "thirty-four trillion, eight hundred thirty-six billion, two hundred thirty-two million, seven hundred eighty-one thousand, forty-seven".

Divisors: 1 17 29 493 101749 694471 1729733 2950721 11806007 20139659 50162257 342374203 70661729779 1201249406243 2049190163591 34836232781047