Search a number
-
+
71343514368 = 28347736733
BaseRepresentation
bin100001001110001100…
…1111010001100000000
320211011001102001010000
41002130121322030000
52132102414424433
652435203040000
75103646603110
oct1023431721400
9224131361100
1071343514368
1128290610325
12119b0970000
13695c8a9979
14364b223040
151cc8549113
hex109c67a300

71343514368 has 360 divisors, whose sum is σ = 246491012768. Its totient is φ = 20101644288.

The previous prime is 71343514309. The next prime is 71343514381. The reversal of 71343514368 is 86341534317.

71343514368 is a `hidden beast` number, since 7 + 13 + 435 + 143 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10592730 + ... + 10599462.

Almost surely, 271343514368 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 71343514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123245506384).

71343514368 is an abundant number, since it is smaller than the sum of its proper divisors (175147498400).

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

71343514368 is an equidigital number, since it uses as much as digits as its factorization.

71343514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6818 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 71343514368 in words is "seventy-one billion, three hundred forty-three million, five hundred fourteen thousand, three hundred sixty-eight".