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71102862304 = 2517521250871
BaseRepresentation
bin100001000111000001…
…1111001001111100000
320210112021120122112121
41002032003321033200
52131104313043204
652355245034024
75064665233435
oct1021603711740
9223467518477
1071102862304
1128177791921
1211944255914
136921a8b0b6
14362729bb8c
151cb235eb54
hex108e0f93e0

71102862304 has 48 divisors (see below), whose sum is σ = 148503178656. Its totient is φ = 33395814400.

The previous prime is 71102862301. The next prime is 71102862319. The reversal of 71102862304 is 40326820117.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 71102862304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71102862301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157989 + ... + 408859.

It is an arithmetic number, because the mean of its divisors is an integer number (3093816222).

Almost surely, 271102862304 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 71102862304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74251589328).

71102862304 is an abundant number, since it is smaller than the sum of its proper divisors (77400316352).

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

71102862304 is a wasteful number, since it uses less digits than its factorization.

71102862304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251419 (or 251411 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 71102862304 in words is "seventy-one billion, one hundred two million, eight hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 521 544 1042 2084 4168 8336 8857 16672 17714 35428 70856 141712 250871 283424 501742 1003484 2006968 4013936 4264807 8027872 8529614 17059228 34118456 68236912 130703791 136473824 261407582 522815164 1045630328 2091260656 2221964447 4182521312 4443928894 8887857788 17775715576 35551431152 71102862304