Search a number
-
+
2429193639717 = 321386069241229
BaseRepresentation
bin100011010110010111001…
…110010101011100100101
322121020011200101202222100
4203112113032111130211
5304244442032432332
65055542310122313
7340334453151225
oct43262716253445
98536150352870
102429193639717
11857240531859
12332964050399
131480c2198930
1485805d58085
15432c781d67c
hex23597395725

2429193639717 has 24 divisors (see below), whose sum is σ = 3778805230200. Its totient is φ = 1494864828288.

The previous prime is 2429193639601. The next prime is 2429193639781. The reversal of 2429193639717 is 7179363919242.

2429193639717 is a `hidden beast` number, since 2 + 42 + 9 + 193 + 6 + 397 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90248571396 + 2338945068321 = 300414^2 + 1529361^2 .

It is not a de Polignac number, because 2429193639717 - 27 = 2429193639589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429191639717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9949459 + ... + 10190687.

It is an arithmetic number, because the mean of its divisors is an integer number (157450217925).

Almost surely, 22429193639717 is an apocalyptic number.

It is an amenable number.

2429193639717 is a deficient number, since it is larger than the sum of its proper divisors (1349611590483).

2429193639717 is a wasteful number, since it uses less digits than its factorization.

2429193639717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327317 (or 327314 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 2429193639717 in words is "two trillion, four hundred twenty-nine billion, one hundred ninety-three million, six hundred thirty-nine thousand, seven hundred seventeen".

Divisors: 1 3 9 13 39 117 86069 241229 258207 723687 774621 1118897 2171061 3135977 3356691 9407931 10070073 28223793 20762338801 62287016403 186861049209 269910404413 809731213239 2429193639717