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96271816729 = 1126724212
BaseRepresentation
bin101100110101000111…
…1110101100000011001
3100012111100102000020211
41121222033311200121
53034131041113404
6112120543051121
76645463640344
oct1315217654031
9305440360224
1096271816729
1137912a26900
12167a92a0aa1
1391032cba3a
144933c6545b
152786ca7b04
hex166a3f5819

96271816729 has 27 divisors (see below), whose sum is σ = 107678168703. Its totient is φ = 86008784400.

The previous prime is 96271816723. The next prime is 96271816777. The reversal of 96271816729 is 92761817269.

The square root of 96271816729 is 310277.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 456805129 + 95815011600 = 21373^2 + 309540^2 .

It is not a de Polignac number, because 96271816729 - 29 = 96271816217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96271816723) 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 26 ways as a sum of consecutive naturals, for example, 228673939 + ... + 228674359.

Almost surely, 296271816729 is an apocalyptic number.

96271816729 is the 310277-th square number.

96271816729 is the 155139-th centered octagonal number.

It is an amenable number.

96271816729 is a deficient number, since it is larger than the sum of its proper divisors (11406351974).

96271816729 is an frugal number, since it uses more digits than its factorization.

96271816729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 58.

The spelling of 96271816729 in words is "ninety-six billion, two hundred seventy-one million, eight hundred sixteen thousand, seven hundred twenty-nine".

Divisors: 1 11 67 121 421 737 4489 4631 8107 28207 49379 50941 177241 310277 543169 1889869 1949651 3413047 11875147 20788559 21446161 130626617 228674149 795634849 1436892787 8751983339 96271816729