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71782106916 = 223133117778353
BaseRepresentation
bin100001011011010001…
…1000000011100100100
320212021121200211222110
41002312203000130210
52134002204410131
652550511401020
75120553561432
oct1026643003444
9225247624873
1071782106916
1128496145403
1211ab3823170
1369cc7112a0
14368d591d52
151d01cd2646
hex10b68c0724

71782106916 has 96 divisors (see below), whose sum is σ = 186321200128. Its totient is φ = 21359738880.

The previous prime is 71782106897. The next prime is 71782106917. The reversal of 71782106916 is 61960128717.

It is not an unprimeable number, because it can be changed into a prime (71782106917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8589396 + ... + 8597748.

Almost surely, 271782106916 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 71782106916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93160600064).

71782106916 is an abundant number, since it is smaller than the sum of its proper divisors (114539093212).

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

71782106916 is a wasteful number, since it uses less digits than its factorization.

71782106916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 71782106916 in words is "seventy-one billion, seven hundred eighty-two million, one hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 1777 2418 3554 4836 5331 7108 8353 10662 16706 21324 23101 25059 33412 46202 50118 55087 69303 92404 100236 108589 110174 138606 165261 217178 220348 258943 277212 325767 330522 434356 517886 651534 661044 716131 776829 1035772 1303068 1432262 1553658 2148393 2864524 3107316 3366259 4296786 6732518 8593572 10098777 13465036 14843281 20197554 29686562 40395108 44529843 59373124 89059686 178119372 192962653 385925306 460141711 578887959 771850612 920283422 1157775918 1380425133 1840566844 2315551836 2760850266 5521700532 5981842243 11963684486 17945526729 23927368972 35891053458 71782106916