Search a number
-
+
71438937759 = 3279833115321
BaseRepresentation
bin100001010001000010…
…1111010111010011111
320211101200222001101200
41002202011322322133
52132301332002014
652452452210543
75106215644320
oct1024205727237
9224350861350
1071438937759
112832a466332
1211a18909a53
1369765aa307
143659b82447
151cd1ae7a09
hex10a217ae9f

71438937759 has 24 divisors (see below), whose sum is σ = 117943960992. Its totient is φ = 40817744640.

The previous prime is 71438937743. The next prime is 71438937781. The reversal of 71438937759 is 95773983417.

It is not a de Polignac number, because 71438937759 - 24 = 71438937743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 71438937696 and 71438937705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71438937709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561819 + ... + 677139.

It is an arithmetic number, because the mean of its divisors is an integer number (4914331708).

Almost surely, 271438937759 is an apocalyptic number.

71438937759 is a deficient number, since it is larger than the sum of its proper divisors (46505023233).

71438937759 is a wasteful number, since it uses less digits than its factorization.

71438937759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125167 (or 125164 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 71438937759 in words is "seventy-one billion, four hundred thirty-eight million, nine hundred thirty-seven thousand, seven hundred fifty-nine".

Divisors: 1 3 7 9 21 63 9833 29499 68831 88497 115321 206493 345963 619479 807247 1037889 2421741 7265223 1133951393 3401854179 7937659751 10205562537 23812979253 71438937759