Search a number
-
+
71057047776 = 253111321932063
BaseRepresentation
bin100001000101101010…
…1001000000011100000
320210102002101000211020
41002023111020003200
52131011101012101
652350531045440
75063600640411
oct1021325100340
9223362330736
1071057047776
112815393a780
1211930a40880
136915439b00
143621173808
151cad310136
hex108b5480e0

71057047776 has 288 divisors, whose sum is σ = 221587011072. Its totient is φ = 19763527680.

The previous prime is 71057047753. The next prime is 71057047781. The reversal of 71057047776 is 67774075017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34442521 + ... + 34444583.

It is an arithmetic number, because the mean of its divisors is an integer number (769399344).

Almost surely, 271057047776 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 71057047776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110793505536).

71057047776 is an abundant number, since it is smaller than the sum of its proper divisors (150529963296).

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

71057047776 is a wasteful number, since it uses less digits than its factorization.

71057047776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 51.

The spelling of 71057047776 in words is "seventy-one billion, fifty-seven million, forty-seven thousand, seven hundred seventy-six".