Search a number
-
+
72511781043 = 31335919792617
BaseRepresentation
bin100001110001000001…
…0011111100010110011
320221011110201010201010
41003202002133202303
52142001003443133
653151135042003
75144623653312
oct1034202374263
9227143633633
1072511781043
1128830012379
1212078070303
136ab7940220
14371c452279
151d45db7263
hex10e209f8b3

72511781043 has 32 divisors (see below), whose sum is σ = 104502182400. Its totient is φ = 44458857216.

The previous prime is 72511781033. The next prime is 72511781077. The reversal of 72511781043 is 34018711527.

It is a happy number.

It is not a de Polignac number, because 72511781043 - 28 = 72511780787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72511780992 and 72511781010.

It is not an unprimeable number, because it can be changed into a prime (72511781003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27706671 + ... + 27709287.

It is an arithmetic number, because the mean of its divisors is an integer number (3265693200).

Almost surely, 272511781043 is an apocalyptic number.

72511781043 is a deficient number, since it is larger than the sum of its proper divisors (31990401357).

72511781043 is a wasteful number, since it uses less digits than its factorization.

72511781043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971.

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 72511781043 in words is "seventy-two billion, five hundred eleven million, seven hundred eighty-one thousand, forty-three".

Divisors: 1 3 13 39 359 1077 1979 2617 4667 5937 7851 14001 25727 34021 77181 102063 710461 939503 2131383 2818509 5179043 9235993 12213539 15537129 27707979 36640617 67327559 201982677 1859276437 5577829311 24170593681 72511781043