Search a number
-
+
6516150381 = 341310975641
BaseRepresentation
bin1100001000110010…
…01001000001101101
3121211010021201220000
412010121021001231
5101321113303011
62554331414513
7320322235656
oct60431110155
917733251800
106516150381
112844219254
12131a2b4439
137cacb6cb0
1445b5aa52d
152820e1356
hex18464906d

6516150381 has 40 divisors (see below), whose sum is σ = 10494187704. Its totient is φ = 4005573120.

The previous prime is 6516150379. The next prime is 6516150409. The reversal of 6516150381 is 1830516156.

6516150381 is a `hidden beast` number, since 6 + 5 + 1 + 615 + 0 + 38 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1109489481 + 5406660900 = 33309^2 + 73530^2 .

It is not a de Polignac number, because 6516150381 - 21 = 6516150379 is a prime.

It is a super-2 number, since 2×65161503812 = 84920431575612890322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6516150181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152321 + ... + 1157961.

Almost surely, 26516150381 is an apocalyptic number.

It is an amenable number.

6516150381 is a deficient number, since it is larger than the sum of its proper divisors (3978037323).

6516150381 is a wasteful number, since it uses less digits than its factorization.

6516150381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 6516150381 is about 80722.6757547097. The cubic root of 6516150381 is about 1867.7999789078.

The spelling of 6516150381 in words is "six billion, five hundred sixteen million, one hundred fifty thousand, three hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1097 3291 5641 9873 14261 16923 29619 42783 50769 73333 88857 128349 152307 219999 385047 456921 659997 1155141 1979991 5939973 6188177 18564531 55693593 80446301 167080779 241338903 501242337 724016709 2172050127 6516150381