Search a number
-
+
71528171904 = 2733731127751
BaseRepresentation
bin100001010011101101…
…0010100100110000000
320211121220212121122000
41002213122110212000
52132442203000104
652505400544000
75111351300220
oct1024732244600
9224556777560
1071528171904
1128375874262
1211a42782000
13698bc21797
143667970080
151cd9872639
hex10a7694980

71528171904 has 512 divisors, whose sum is σ = 251343667200. Its totient is φ = 19595520000.

The previous prime is 71528171903. The next prime is 71528171909. The reversal of 71528171904 is 40917182517.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71528171904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71528171903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95243529 + ... + 95244279.

It is an arithmetic number, because the mean of its divisors is an integer number (490905600).

Almost surely, 271528171904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71528171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125671833600).

71528171904 is an abundant number, since it is smaller than the sum of its proper divisors (179815495296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71528171904 is a wasteful number, since it uses less digits than its factorization.

71528171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 71528171904 in words is "seventy-one billion, five hundred twenty-eight million, one hundred seventy-one thousand, nine hundred four".