Search a number
-
+
54113242005 = 3252317351893
BaseRepresentation
bin110010011001011001…
…101000101110010101
312011200020121111220100
4302121121220232111
51341310442221010
640505334324313
73623655652644
oct623131505625
9164606544810
1054113242005
1120a49572709
12a5a24b9699
135144c90334
142894b2135b
15161aa382c0
hexc99668b95

54113242005 has 24 divisors (see below), whose sum is σ = 93802141368. Its totient is φ = 28858594176.

The previous prime is 54113242003. The next prime is 54113242033. The reversal of 54113242005 is 50024231145.

54113242005 is a `hidden beast` number, since 5 + 411 + 3 + 242 + 0 + 0 + 5 = 666.

54113242005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3916631889 + 50196610116 = 62583^2 + 224046^2 .

It is not a de Polignac number, because 54113242005 - 21 = 54113242003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54113242005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54113242003) 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, 1016839 + ... + 1068731.

It is an arithmetic number, because the mean of its divisors is an integer number (3908422557).

Almost surely, 254113242005 is an apocalyptic number.

It is an amenable number.

54113242005 is a deficient number, since it is larger than the sum of its proper divisors (39688899363).

54113242005 is a wasteful number, since it uses less digits than its factorization.

54113242005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75077 (or 75074 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 54113242005 in words is "fifty-four billion, one hundred thirteen million, two hundred forty-two thousand, five".

Divisors: 1 3 5 9 15 45 23173 51893 69519 115865 155679 208557 259465 347595 467037 778395 1042785 2335185 1202516489 3607549467 6012582445 10822648401 18037747335 54113242005