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71696308000 = 255343416839
BaseRepresentation
bin100001011000101101…
…1101101011100100000
320212001122020210222211
41002301123231130200
52133313223324000
652534204411504
75115462364012
oct1026133553440
9225048223884
1071696308000
1128451773409
1211a8ab46b94
1369b7a005b5
14368201a1b2
151ce94d57ba
hex10b16ed720

71696308000 has 96 divisors (see below), whose sum is σ = 180254954880. Its totient is φ = 28011513600.

The previous prime is 71696307997. The next prime is 71696308027. The reversal of 71696308000 is 80369617.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36420 + ... + 380419.

It is an arithmetic number, because the mean of its divisors is an integer number (1877655780).

Almost surely, 271696308000 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 71696308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90127477440).

71696308000 is an abundant number, since it is smaller than the sum of its proper divisors (108558646880).

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

71696308000 is a wasteful number, since it uses less digits than its factorization.

71696308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416907 (or 416889 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

It can be divided in two parts, 7169 and 6308000, that added together give a square (6315169 = 25132).

The spelling of 71696308000 in words is "seventy-one billion, six hundred ninety-six million, three hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 416839 833678 1667356 2084195 3334712 4168390 6669424 8336780 10420975 13338848 16673560 17924077 20841950 33347120 35848154 41683900 52104875 66694240 71696308 83367800 89620385 104209750 143392616 166735600 179240770 208419500 286785232 333471200 358481540 416839000 448101925 573570464 716963080 833678000 896203850 1433926160 1667356000 1792407700 2240509625 2867852320 3584815400 4481019250 7169630800 8962038500 14339261600 17924077000 35848154000 71696308000