Search a number
-
+
20233617442713 = 3319731127947903
BaseRepresentation
bin1001001100111000000011…
…00101001000011110011001
32122122022111120220020001000
410212130001211020132121
510123001422031131323
6111011110122415213
74155554621354643
oct446340145103631
978568446806030
1020233617442713
1164a1035614544
1223294b1661509
13b3a03927453c
144dd452d97893
152514c97dde43
hex126701948799

20233617442713 has 64 divisors (see below), whose sum is σ = 31989141504000. Its totient is φ = 12602689699968.

The previous prime is 20233617442693. The next prime is 20233617442757. The reversal of 20233617442713 is 31724471633202.

20233617442713 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 3 + 617 + 4 + 4 + 27 + 1 + 3 = 666.

It is not a de Polignac number, because 20233617442713 - 214 = 20233617426329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20233617442013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422363320 + ... + 422411222.

It is an arithmetic number, because the mean of its divisors is an integer number (499830336000).

Almost surely, 220233617442713 is an apocalyptic number.

It is an amenable number.

20233617442713 is a deficient number, since it is larger than the sum of its proper divisors (11755524061287).

20233617442713 is a wasteful number, since it uses less digits than its factorization.

20233617442713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59283 (or 59277 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 20233617442713 in words is "twenty trillion, two hundred thirty-three billion, six hundred seventeen million, four hundred forty-two thousand, seven hundred thirteen".

Divisors: 1 3 9 19 27 57 73 171 219 513 657 1387 1971 4161 11279 12483 33837 37449 47903 101511 143709 214301 304533 431127 642903 823367 910157 1293381 1928709 2470101 2730471 3496919 5786127 7410303 8191413 10490757 15643973 22230909 24574239 31472271 46931919 66441461 94416813 140795757 199324383 422387271 540297937 597973149 1620893811 1793919447 4862681433 10265660803 14588044299 30796982409 39441749401 92390947227 118325248203 277172841681 354975744609 749393238619 1064927233827 2248179715857 6744539147571 20233617442713