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71867659668 = 223724112723473
BaseRepresentation
bin100001011101110100…
…1010111010110010100
320212111120200101021220
41002323221113112110
52134141110102133
653003205210340
75122643012400
oct1027351272624
9225446611256
1071867659668
112852a469462
1211b184009b0
136a14366c0c
14369aaa2100
151d095815b3
hex10bba57594

71867659668 has 144 divisors (see below), whose sum is σ = 201409173504. Its totient is φ = 19874211840.

The previous prime is 71867659663. The next prime is 71867659691. The reversal of 71867659668 is 86695676817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71867659663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3049980 + ... + 3073452.

It is an arithmetic number, because the mean of its divisors is an integer number (1398674816).

Almost surely, 271867659668 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 71867659668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100704586752).

71867659668 is an abundant number, since it is smaller than the sum of its proper divisors (129541513836).

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

71867659668 is a wasteful number, since it uses less digits than its factorization.

71867659668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23662 (or 23653 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 71867659668 in words is "seventy-one billion, eight hundred sixty-seven million, six hundred fifty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 127 147 164 196 246 254 287 294 381 492 508 574 588 762 861 889 1148 1524 1722 1778 2009 2667 3444 3556 4018 5207 5334 6027 6223 8036 10414 10668 12054 12446 15621 18669 20828 23473 24108 24892 31242 36449 37338 46946 62484 70419 72898 74676 93892 109347 140838 145796 164311 218694 255143 281676 328622 437388 492933 510286 657244 765429 962393 985866 1020572 1150177 1530858 1924786 1971732 2300354 2887179 2981071 3061716 3450531 3849572 4600708 5774358 5962142 6736751 6901062 8943213 11548716 11924284 13473502 13802124 17886426 20210253 20867497 26947004 35772852 40420506 41734994 47157257 62602491 80841012 83469988 94314514 122223911 125204982 141471771 146072479 188629028 244447822 250409964 282943542 292144958 366671733 438217437 488895644 565887084 584289916 733343466 855567377 876434874 1466686932 1711134754 1752869748 2566702131 3422269508 5133404262 5988971639 10266808524 11977943278 17966914917 23955886556 35933829834 71867659668