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71838304420 = 22523598331891
BaseRepresentation
bin100001011100111100…
…1011000100010100100
320212102112102222110111
41002321321120202210
52134111101220140
653000240102404
75122135340521
oct1027171304244
9225375388414
1071838304420
1128514939423
1211b0a604a04
136a0b25954c
143696c20148
151d06bd37ea
hex10b9e588a4

71838304420 has 96 divisors (see below), whose sum is σ = 162021565440. Its totient is φ = 26693715840.

The previous prime is 71838304411. The next prime is 71838304453. The reversal of 71838304420 is 2440383817.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2236675 + ... + 2268565.

It is an arithmetic number, because the mean of its divisors is an integer number (1687724640).

Almost surely, 271838304420 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 71838304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81010782720).

71838304420 is an abundant number, since it is smaller than the sum of its proper divisors (90183261020).

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

71838304420 is a wasteful number, since it uses less digits than its factorization.

71838304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32065 (or 32063 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 71838304420 in words is "seventy-one billion, eight hundred thirty-eight million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 83 92 115 118 166 230 236 295 332 415 460 590 830 1180 1357 1660 1909 2714 3818 4897 5428 6785 7636 9545 9794 13570 19090 19588 24485 27140 31891 38180 48970 63782 97940 112631 127564 159455 225262 318910 450524 563155 637820 733493 1126310 1466986 1881569 2252620 2646953 2933972 3667465 3763138 5293906 7334930 7526276 9407845 10587812 13234765 14669860 18815690 26469530 37631380 43276087 52939060 60879919 86552174 121759838 156170227 173104348 216380435 243519676 304399595 312340454 432760870 608799190 624680908 780851135 865521740 1217598380 1561702270 3123404540 3591915221 7183830442 14367660884 17959576105 35919152210 71838304420