Search a number
-
+
6144536133 = 323159337139
BaseRepresentation
bin1011011100011111…
…00010111001000101
3120212020000202222100
411232033202321011
5100041000124013
62453414422313
7305160460341
oct55617427105
916766022870
106144536133
112673480a3a
121235961999
1376c0039c8
144240b4621
1525e688473
hex16e3e2e45

6144536133 has 24 divisors (see below), whose sum is σ = 9177442560. Its totient is φ = 3957425280.

The previous prime is 6144536131. The next prime is 6144536191. The reversal of 6144536133 is 3316354416.

6144536133 is a `hidden beast` number, since 614 + 4 + 5 + 3 + 6 + 1 + 33 = 666.

It is not a de Polignac number, because 6144536133 - 21 = 6144536131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144536131) 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, 146878 + ... + 184016.

It is an arithmetic number, because the mean of its divisors is an integer number (382393440).

Almost surely, 26144536133 is an apocalyptic number.

It is an amenable number.

6144536133 is a deficient number, since it is larger than the sum of its proper divisors (3032906427).

6144536133 is a wasteful number, since it uses less digits than its factorization.

6144536133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37769 (or 37766 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 6144536133 is about 78387.0916222818. The cubic root of 6144536133 is about 1831.5960607616.

The spelling of 6144536133 in words is "six billion, one hundred forty-four million, five hundred thirty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 593 1779 5337 18383 37139 55149 111417 165447 334251 1151309 3453927 10361781 22023427 66070281 198210843 682726237 2048178711 6144536133