Search a number
-
+
64205662131 = 32134094213187
BaseRepresentation
bin111011110010111101…
…001010011110110011
320010201121021120121100
4323302331022132303
52022443122142011
645255022055443
74432035060222
oct736275123663
9203647246540
1064205662131
1125258471296
121053a41a583
136092b69170
143171260cb9
151a0ba9ed56
hexef2f4a7b3

64205662131 has 48 divisors (see below), whose sum is σ = 100388972320. Its totient is φ = 39308613120.

The previous prime is 64205662127. The next prime is 64205662133. The reversal of 64205662131 is 13126650246.

64205662131 is a `hidden beast` number, since 6 + 4 + 20 + 5 + 6 + 621 + 3 + 1 = 666.

It is not a de Polignac number, because 64205662131 - 22 = 64205662127 is a prime.

It is a super-2 number, since 2×642056621312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64205662133) 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 47 ways as a sum of consecutive naturals, for example, 20144520 + ... + 20147706.

Almost surely, 264205662131 is an apocalyptic number.

64205662131 is a deficient number, since it is larger than the sum of its proper divisors (36183310189).

64205662131 is a wasteful number, since it uses less digits than its factorization.

64205662131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64205662131 in words is "sixty-four billion, two hundred five million, six hundred sixty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 409 421 1227 1263 3187 3681 3789 5317 5473 9561 15951 16419 28683 41431 47853 49257 124293 172189 372879 516567 1303483 1341727 1549701 2238457 3910449 4025181 6715371 11731347 12075543 16945279 17442451 20146113 50835837 52327353 152507511 156982059 548766343 1646299029 4938897087 7133962459 21401887377 64205662131