Search a number
-
+
72647625547231 = 7233139711484677
BaseRepresentation
bin10000100001001010010111…
…111010100001110111011111
3100112020001012221012011000121
4100201022113322201313133
534010224314120002411
6414301505231335411
721205421612330050
oct2041122772416737
9315201187164017
1072647625547231
1121169759779a99
12819371a981567
13316c845a55947
1413d22417da727
1585eae8a09571
hex421297ea1ddf

72647625547231 has 32 divisors (see below), whose sum is σ = 87002035780608. Its totient is φ = 59310549492480.

The previous prime is 72647625547201. The next prime is 72647625547303. The reversal of 72647625547231 is 13274552674627.

It is a cyclic number.

It is not a de Polignac number, because 72647625547231 - 221 = 72647623450079 is a prime.

It is a super-2 number, since 2×726476255472312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72647625547231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72647625547201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48189265 + ... + 49673941.

It is an arithmetic number, because the mean of its divisors is an integer number (2718813618144).

Almost surely, 272647625547231 is an apocalyptic number.

72647625547231 is a deficient number, since it is larger than the sum of its proper divisors (14354410233377).

72647625547231 is a wasteful number, since it uses less digits than its factorization.

72647625547231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485991.

The product of its digits is 118540800, while the sum is 61.

The spelling of 72647625547231 in words is "seventy-two trillion, six hundred forty-seven billion, six hundred twenty-five million, five hundred forty-seven thousand, two hundred thirty-one".

Divisors: 1 7 23 161 313 971 2191 6797 7199 22333 50393 156331 303923 1484677 2127461 6990229 10392739 34147571 48931603 239032997 464703901 1441621367 3252927307 10091349569 10688189723 33157291441 74817328061 232101040087 451227487871 3158592415097 10378232221033 72647625547231