Search a number
-
+
72231531593 = 1341337402133
BaseRepresentation
bin100001101000101010…
…1011011010001001001
320220102221100222201212
41003101111123101021
52140412233002333
653103244222505
75134651613444
oct1032125332111
9226387328655
1072231531593
11286a68a8861
1211bba23aa35
136a71869150
1436d314065b
151d2b4aa448
hex10d155b449

72231531593 has 16 divisors (see below), whose sum is σ = 79921719696. Its totient is φ = 64855848960.

The previous prime is 72231531571. The next prime is 72231531599. The reversal of 72231531593 is 39513513227.

It can be written as a sum of positive squares in 8 ways, for example, as 4929163264 + 67302368329 = 70208^2 + 259427^2 .

It is a cyclic number.

It is not a de Polignac number, because 72231531593 - 26 = 72231531529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72231531593.

It is not an unprimeable number, because it can be changed into a prime (72231531599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21446 + ... + 380687.

It is an arithmetic number, because the mean of its divisors is an integer number (4995107481).

Almost surely, 272231531593 is an apocalyptic number.

It is an amenable number.

72231531593 is a deficient number, since it is larger than the sum of its proper divisors (7690188103).

72231531593 is a wasteful number, since it uses less digits than its factorization.

72231531593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402524.

The product of its digits is 170100, while the sum is 41.

The spelling of 72231531593 in words is "seventy-two billion, two hundred thirty-one million, five hundred thirty-one thousand, five hundred ninety-three".

Divisors: 1 13 41 337 533 4381 13817 179621 402133 5227729 16487453 135518821 214336889 1761744673 5556271661 72231531593