Search a number
-
+
5044852584405 = 335293174064971
BaseRepresentation
bin100100101101001100010…
…1001010110111111010101
3122212021122110011111022000
41021122120221112333111
51130123324230200110
614421323455025513
71030323102303264
oct111323051267725
918767573144260
105044852584405
111675567846037
12695886b0b299
132a795c59c93a
1413625a6005db
158b3652411c0
hex49698a56fd5

5044852584405 has 64 divisors (see below), whose sum is σ = 9307159891200. Its totient is φ = 2589613528320.

The previous prime is 5044852584391. The next prime is 5044852584419.

5044852584405 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 8 + 52 + 584 + 4 + 0 + 5 = 666.

5044852584405 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5044852584391) and next prime (5044852584419).

It is not a de Polignac number, because 5044852584405 - 212 = 5044852580309 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 791431 + ... + 3273540.

It is an arithmetic number, because the mean of its divisors is an integer number (145424373300).

Almost surely, 25044852584405 is an apocalyptic number.

It is an amenable number.

5044852584405 is a deficient number, since it is larger than the sum of its proper divisors (4262307306795).

5044852584405 is a wasteful number, since it uses less digits than its factorization.

5044852584405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065331 (or 4065325 counting only the distinct ones).

The product of its (nonzero) digits is 20480000, while the sum is 54.

The spelling of 5044852584405 in words is "five trillion, forty-four billion, eight hundred fifty-two million, five hundred eighty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 317 435 783 951 1305 1585 2853 3915 4755 8559 9193 14265 27579 42795 45965 82737 137895 248211 413685 1241055 4064971 12194913 20324855 36584739 60974565 109754217 117884159 182923695 353652477 548771085 589420795 1060957431 1288595807 1768262385 3182872293 3865787421 5304787155 6442979035 11597362263 15914361465 19328937105 34792086789 37369278403 57986811315 112107835209 173960433945 186846392015 336323505627 560539176045 1008970516881 1681617528135 5044852584405