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71145111716 = 22719541247193
BaseRepresentation
bin100001001000010010…
…1000100000010100100
320210122020002010211122
41002100211010002210
52131201122033331
652403354353112
75066020320530
oct1022045040244
9223566063748
1071145111716
1128199619498
121195642b798
13692a761753
14362cb38bc0
151cb5e0817b
hex10909440a4

71145111716 has 48 divisors (see below), whose sum is σ = 150056645760. Its totient is φ = 28832474880.

The previous prime is 71145111643. The next prime is 71145111761. The reversal of 71145111716 is 61711154117.

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, 164216 + ... + 411408.

It is an arithmetic number, because the mean of its divisors is an integer number (3126180120).

Almost surely, 271145111716 is an apocalyptic number.

71145111716 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71145111716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75028322880).

71145111716 is an abundant number, since it is smaller than the sum of its proper divisors (78911534044).

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

71145111716 is a wasteful number, since it uses less digits than its factorization.

71145111716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247764 (or 247762 counting only the distinct ones).

The product of its digits is 5880, while the sum is 35.

The spelling of 71145111716 in words is "seventy-one billion, one hundred forty-five million, one hundred eleven thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 541 1082 2164 3787 7574 10279 15148 20558 41116 71953 143906 247193 287812 494386 988772 1730351 3460702 4696667 6921404 9393334 18786668 32876669 65753338 131506676 133731413 267462826 534925652 936119891 1872239782 2540896847 3744479564 5081793694 10163587388 17786277929 35572555858 71145111716