Search a number
-
+
71322426252 = 2232711194133029
BaseRepresentation
bin100001001101100100…
…1011101101110001100
320211002120201122122200
41002123021131232030
52132032020120002
652433131041500
75103302422530
oct1023311355614
9224076648580
1071322426252
112827a717530
12119a58a0290
1369584051ac
1436484d3bc0
151cc6780b1c
hex109b25db8c

71322426252 has 288 divisors, whose sum is σ = 242382067200. Its totient is φ = 17121715200.

The previous prime is 71322426199. The next prime is 71322426269. The reversal of 71322426252 is 25262422317.

71322426252 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 24 + 2 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142874 + ... + 2175902.

It is an arithmetic number, because the mean of its divisors is an integer number (841604400).

Almost surely, 271322426252 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 71322426252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121191033600).

71322426252 is an abundant number, since it is smaller than the sum of its proper divisors (171059640948).

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

71322426252 is a wasteful number, since it uses less digits than its factorization.

71322426252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33117 (or 33112 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

Adding to 71322426252 its reverse (25262422317), we get a palindrome (96584848569).

The spelling of 71322426252 in words is "seventy-one billion, three hundred twenty-two million, four hundred twenty-six thousand, two hundred fifty-two".