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71327477268 = 22328324119901
BaseRepresentation
bin100001001101101110…
…0101110111000010100
320211002221020021100100
41002123130232320110
52132034313233033
652433431214100
75103363360525
oct1023334567024
9224087207310
1071327477268
1128282557423
12119a7517330
136959483268
14364904a84c
151cc6e2c513
hex109b72ee14

71327477268 has 72 divisors (see below), whose sum is σ = 182566421856. Its totient is φ = 23477256000.

The previous prime is 71327477267. The next prime is 71327477297. The reversal of 71327477268 is 86277472317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71327477267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7199118 + ... + 7209018.

It is an arithmetic number, because the mean of its divisors is an integer number (2535644748).

Almost surely, 271327477268 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 71327477268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91283210928).

71327477268 is an abundant number, since it is smaller than the sum of its proper divisors (111238944588).

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

71327477268 is a wasteful number, since it uses less digits than its factorization.

71327477268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405 (or 12400 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 71327477268 in words is "seventy-one billion, three hundred twenty-seven million, four hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2411 2988 4822 7233 9644 9901 14466 19802 21699 28932 29703 39604 43398 59406 86796 89109 118812 178218 200113 356436 400226 600339 800452 821783 1200678 1643566 1801017 2401356 2465349 3287132 3602034 4930698 7204068 7396047 9861396 14792094 23871311 29584188 47742622 71613933 95485244 143227866 214841799 286455732 429683598 859367196 1981318813 3962637626 5943956439 7925275252 11887912878 17831869317 23775825756 35663738634 71327477268