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71338966464 = 26317173126337
BaseRepresentation
bin100001001110000100…
…0100011110111000000
320211010201211222120010
41002130020203313000
52132100233411324
652434521344520
75103563131653
oct1023410436700
9224121758503
1071338966464
1128288a94427
12119ab338140
13695b9768bc
14364a79b89a
151cc7e4b829
hex109c223dc0

71338966464 has 112 divisors (see below), whose sum is σ = 201010832928. Its totient is φ = 22251307008.

The previous prime is 71338966427. The next prime is 71338966507. The reversal of 71338966464 is 46466983317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501504 + ... + 627840.

Almost surely, 271338966464 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 71338966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100505416464).

71338966464 is an abundant number, since it is smaller than the sum of its proper divisors (129671866464).

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

71338966464 is a wasteful number, since it uses less digits than its factorization.

71338966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126542 (or 126532 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 71338966464 in words is "seventy-one billion, three hundred thirty-eight million, nine hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 173 192 204 272 346 408 519 544 692 816 1038 1088 1384 1632 2076 2768 2941 3264 4152 5536 5882 8304 8823 11072 11764 16608 17646 23528 33216 35292 47056 70584 94112 126337 141168 188224 252674 282336 379011 505348 564672 758022 1010696 1516044 2021392 2147729 3032088 4042784 4295458 6064176 6443187 8085568 8590916 12128352 12886374 17181832 21856301 24256704 25772748 34363664 43712602 51545496 65568903 68727328 87425204 103090992 131137806 137454656 174850408 206181984 262275612 349700816 371557117 412363968 524551224 699401632 743114234 1049102448 1114671351 1398803264 1486228468 2098204896 2229342702 2972456936 4196409792 4458685404 5944913872 8917370808 11889827744 17834741616 23779655488 35669483232 71338966464