Search a number
-
+
5023768617 = 327174690727
BaseRepresentation
bin1001010110111000…
…01010000000101001
3110222010002212222100
410223130022000221
540242041043432
62150300444013
7235331220510
oct45334120051
913863085870
105023768617
11214887179a
12b82549609
13620a6146a
143592cb677
151e609e07c
hex12b70a029

5023768617 has 24 divisors (see below), whose sum is σ = 8781042816. Its totient is φ = 2701858176.

The previous prime is 5023768609. The next prime is 5023768637. The reversal of 5023768617 is 7168673205.

5023768617 is a `hidden beast` number, since 5 + 0 + 23 + 7 + 6 + 8 + 617 = 666.

It is not a de Polignac number, because 5023768617 - 23 = 5023768609 is a prime.

It is a super-3 number, since 3×50237686173 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5023768637) 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 23 ways as a sum of consecutive naturals, for example, 2344293 + ... + 2346434.

It is an arithmetic number, because the mean of its divisors is an integer number (365876784).

Almost surely, 25023768617 is an apocalyptic number.

It is an amenable number.

5023768617 is a deficient number, since it is larger than the sum of its proper divisors (3757274199).

5023768617 is a wasteful number, since it uses less digits than its factorization.

5023768617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690757 (or 4690754 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5023768617 is about 70878.5483556203. The cubic root of 5023768617 is about 1712.6812486657.

The spelling of 5023768617 in words is "five billion, twenty-three million, seven hundred sixty-eight thousand, six hundred seventeen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 4690727 14072181 32835089 42216543 79742359 98505267 239227077 295515801 558196513 717681231 1674589539 5023768617