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71704725336 = 23333143249037
BaseRepresentation
bin100001011000111101…
…1110100011101011000
320212002020002110102000
41002301323310131120
52133322402202321
652535105041000
75115624052236
oct1026173643530
9225066073360
1071704725336
11284564a2492
1211a91926160
1369b968997a
1436831ab956
151cea0e9826
hex10b1ef4758

71704725336 has 128 divisors (see below), whose sum is σ = 210387302400. Its totient is φ = 22592545920.

The previous prime is 71704725331. The next prime is 71704725397. The reversal of 71704725336 is 63352740717.

71704725336 is a `hidden beast` number, since 7 + 1 + 70 + 47 + 2 + 533 + 6 = 666.

It is a super-2 number, since 2×717047253362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71704725291 and 71704725300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71704725331) 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 31 ways as a sum of consecutive naturals, for example, 163410 + ... + 412446.

It is an arithmetic number, because the mean of its divisors is an integer number (1643650800).

Almost surely, 271704725336 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 71704725336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105193651200).

71704725336 is an abundant number, since it is smaller than the sum of its proper divisors (138682577064).

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

71704725336 is a wasteful number, since it uses less digits than its factorization.

71704725336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249126 (or 249116 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 71704725336 in words is "seventy-one billion, seven hundred four million, seven hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 43 54 62 72 86 93 108 124 129 172 186 216 248 258 279 344 372 387 516 558 744 774 837 1032 1116 1161 1333 1548 1674 2232 2322 2666 3096 3348 3999 4644 5332 6696 7998 9288 10664 11997 15996 23994 31992 35991 47988 71982 95976 143964 249037 287928 498074 747111 996148 1494222 1992296 2241333 2988444 4482666 5976888 6723999 7720147 8965332 10708591 13447998 15440294 17930664 21417182 23160441 26895996 30880588 32125773 42834364 46320882 53791992 61761176 64251546 69481323 85668728 92641764 96377319 128503092 138962646 185283528 192754638 208443969 257006184 277925292 289131957 331966321 385509276 416887938 555850584 578263914 663932642 771018552 833775876 995898963 1156527828 1327865284 1667551752 1991797926 2313055656 2655730568 2987696889 3983595852 5975393778 7967191704 8963090667 11950787556 17926181334 23901575112 35852362668 71704725336