Search a number
-
+
54089336261136 = 24311102441924737
BaseRepresentation
bin11000100110001101001111…
…01011001000101000010000
321002111220000211210020122110
430103012213223020220100
524042144430040324021
6311012144213305320
714251553114213121
oct1423064753105020
9232456024706573
1054089336261136
1116264182238a30
126096a61335240
1324247aa989397
14d4dd1b62a048
1563bec3a88476
hex3131a7ac8a10

54089336261136 has 40 divisors (see below), whose sum is σ = 152433584010144. Its totient is φ = 16390707957760.

The previous prime is 54089336261071. The next prime is 54089336261231. The reversal of 54089336261136 is 63116263398045.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51220961841 + ... + 51220962896.

Almost surely, 254089336261136 is an apocalyptic number.

It is an amenable number.

54089336261136 is an abundant number, since it is smaller than the sum of its proper divisors (98344247749008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54089336261136 is a wasteful number, since it uses less digits than its factorization.

54089336261136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102441924759 (or 102441924753 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 54089336261136 in words is "fifty-four trillion, eighty-nine billion, three hundred thirty-six million, two hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 102441924737 204883849474 307325774211 409767698948 614651548422 819535397896 1126861172107 1229303096844 1639070795792 2253722344214 2458606193688 3380583516321 4507444688428 4917212387376 6761167032642 9014889376856 13522334065284 18029778753712 27044668130568 54089336261136