Search a number
-
+
34517652213 = 311367129023
BaseRepresentation
bin100000001001011010…
…011001001011110101
310022002121001102011110
4200021122121023311
51031143004332323
623505053025233
72331244126362
oct401132311365
9108077042143
1034517652213
1113703351000
126833a85219
13334130c4a5
14195642b469
15d70552793
hex8096992f5

34517652213 has 32 divisors (see below), whose sum is σ = 51378388992. Its totient is φ = 20607393840.

The previous prime is 34517652167. The next prime is 34517652229. The reversal of 34517652213 is 31225671543.

It is a de Polignac number, because none of the positive numbers 2k-34517652213 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34517652263) 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, 203020 + ... + 332042.

It is an arithmetic number, because the mean of its divisors is an integer number (1605574656).

Almost surely, 234517652213 is an apocalyptic number.

34517652213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34517652213 is a deficient number, since it is larger than the sum of its proper divisors (16860736779).

34517652213 is a wasteful number, since it uses less digits than its factorization.

34517652213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129126 (or 129104 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 34517652213 in words is "thirty-four billion, five hundred seventeen million, six hundred fifty-two thousand, two hundred thirteen".

Divisors: 1 3 11 33 67 121 201 363 737 1331 2211 3993 8107 24321 89177 129023 267531 387069 1419253 4257759 8644541 15611783 25933623 46835349 95089951 171729613 285269853 515188839 1045989461 3137968383 11505884071 34517652213