Search a number
-
+
5264753838225 = 3527193117025641
BaseRepresentation
bin100110010011100101111…
…0010000100100010010001
3200122022020202011121202020
41030213023302010202101
51142224203440310400
615110332230042053
71052236336153410
oct114471362044221
920568222147666
105264753838225
11174a851320842
127104174a9329
132c26059a183b
14142b5b821477
1591e359282a0
hex4c9cbc84891

5264753838225 has 96 divisors (see below), whose sum is σ = 10809239592960. Its totient is φ = 2206522944000.

The previous prime is 5264753838181. The next prime is 5264753838247. The reversal of 5264753838225 is 5228383574625.

It is not a de Polignac number, because 5264753838225 - 217 = 5264753707153 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8203596 + ... + 8822045.

It is an arithmetic number, because the mean of its divisors is an integer number (112596245760).

Almost surely, 25264753838225 is an apocalyptic number.

It is an amenable number.

5264753838225 is an abundant number, since it is smaller than the sum of its proper divisors (5544485754735).

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

5264753838225 is a wasteful number, since it uses less digits than its factorization.

5264753838225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025711 (or 17025706 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 60.

The spelling of 5264753838225 in words is "five trillion, two hundred sixty-four billion, seven hundred fifty-three million, eight hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 31 35 57 75 93 95 105 133 155 175 217 285 399 465 475 525 589 651 665 775 1085 1425 1767 1995 2325 2945 3255 3325 4123 5425 8835 9975 12369 14725 16275 20615 44175 61845 103075 309225 17025641 51076923 85128205 119179487 255384615 323487179 357538461 425641025 527794871 595897435 970461537 1276923075 1583384613 1617435895 1787692305 2264410253 2638974355 2979487175 3694564097 4852307685 6793230759 7916923065 8087179475 8938461525 10028102549 11083692291 11322051265 13194871775 18472820485 24261538425 30084307647 33966153795 39584615325 50140512745 55418461455 56610256325 70196717843 92364102425 150421538235 169830768975 210590153529 250702563725 277092307275 350983589215 752107691175 1052950767645 1754917946075 5264753838225