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71727980340 = 22351977238147
BaseRepresentation
bin100001011001101010…
…0100001111100110100
320212010211211221021110
41002303110201330310
52133344330332330
652541255315020
75116325526132
oct1026324417464
9225124757243
1071727980340
11284686362a5
1211a9967ba70
1369c143c823
143686302752
151cec18edb0
hex10b3521f34

71727980340 has 96 divisors (see below), whose sum is σ = 211462110720. Its totient is φ = 18116182656.

The previous prime is 71727980339. The next prime is 71727980347. The reversal of 71727980340 is 4308972717.

It is a self number, because there is not a number n which added to its sum of digits gives 71727980340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71727980347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8800147 + ... + 8808293.

It is an arithmetic number, because the mean of its divisors is an integer number (2202730320).

Almost surely, 271727980340 is an apocalyptic number.

It is an amenable number.

71727980340 is an abundant number, since it is smaller than the sum of its proper divisors (139734130380).

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

71727980340 is a wasteful number, since it uses less digits than its factorization.

71727980340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 71727980340 in words is "seventy-one billion, seven hundred twenty-seven million, nine hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 7723 8147 15446 16294 23169 24441 30892 32588 38615 40735 46338 48882 77230 81470 92676 97764 115845 122205 146737 154460 154793 162940 231690 244410 293474 309586 440211 463380 464379 488820 586948 619172 733685 773965 880422 928758 1467370 1547930 1760844 1857516 2201055 2321895 2934740 3095860 4402110 4643790 8804220 9287580 62919281 125838562 188757843 251677124 314596405 377515686 629192810 755031372 943789215 1195466339 1258385620 1887578430 2390932678 3586399017 3775156860 4781865356 5977331695 7172798034 11954663390 14345596068 17931995085 23909326780 35863990170 71727980340