Search a number
-
+
72424295761 = 29471392511523
BaseRepresentation
bin100001101110011010…
…0110000110101010001
320220221101002102110111
41003130310300311101
52141311104431021
653134332001321
75142512233216
oct1033464606521
9226841072414
1072424295761
1128795699394
1212052900241
136aa278ba9c
14371099bb0d
151d3d3858e1
hex10dcd30d51

72424295761 has 32 divisors (see below), whose sum is σ = 77424076800. Its totient is φ = 67631592000.

The previous prime is 72424295731. The next prime is 72424295831. The reversal of 72424295761 is 16759242427.

It is a cyclic number.

It is not a de Polignac number, because 72424295761 - 27 = 72424295633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72424295731) 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, 47552946 + ... + 47554468.

It is an arithmetic number, because the mean of its divisors is an integer number (2419502400).

Almost surely, 272424295761 is an apocalyptic number.

It is an amenable number.

72424295761 is a deficient number, since it is larger than the sum of its proper divisors (4999781039).

72424295761 is a wasteful number, since it uses less digits than its factorization.

72424295761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989.

The product of its digits is 1693440, while the sum is 49.

The spelling of 72424295761 in words is "seventy-two billion, four hundred twenty-four million, two hundred ninety-five thousand, seven hundred sixty-one".

Divisors: 1 29 47 139 251 1363 1523 4031 6533 7279 11797 34889 44167 71581 189457 211697 342113 382273 1011781 1639783 2075849 6139213 9949759 11085917 17966831 47553707 53135947 288543011 521038099 1540942463 2497389509 72424295761