Search a number
-
+
71242549569 = 344726312
BaseRepresentation
bin100001001011001100…
…0110000100101000001
320210220000102111110000
41002112120300211001
52131401043041234
652421155030213
75101312452102
oct1022630604501
9223800374400
1071242549569
112823961aa44
1211982b9b369
1369449b8c99
14363ba603a9
151cbe753899
hex1096630941

71242549569 has 45 divisors (see below), whose sum is σ = 108909171921. Its totient is φ = 46410832440.

The previous prime is 71242549559. The next prime is 71242549583. The reversal of 71242549569 is 96594524217.

It is a happy number.

The square root of 71242549569 is 266913.

It is a perfect power (a square), and thus also a powerful number.

71242549569 is a `hidden beast` number, since 7 + 1 + 2 + 42 + 549 + 56 + 9 = 666.

It is not a de Polignac number, because 71242549569 - 25 = 71242549537 is a prime.

It is a super-2 number, since 2×712425495692 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71242549559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 112903884 + ... + 112904514.

Almost surely, 271242549569 is an apocalyptic number.

71242549569 is the 266913-rd square number.

71242549569 is the 133457-th centered octagonal number.

It is an amenable number.

71242549569 is a deficient number, since it is larger than the sum of its proper divisors (37666622352).

71242549569 is an frugal number, since it uses more digits than its factorization.

71242549569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 681 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 71242549569 in words is "seventy-one billion, two hundred forty-two million, five hundred forty-nine thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 47 81 141 423 631 1269 1893 2209 3807 5679 6627 17037 19881 29657 51111 59643 88971 178929 266913 398161 800739 1194483 1393879 2402217 3583449 4181637 10750347 12544911 18713567 32251041 37634733 56140701 112904199 168422103 505266309 879537649 1515798927 2638612947 7915838841 23747516523 71242549569