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996988271049 = 32167219932
BaseRepresentation
bin11101000001000010010…
…00011011100111001001
310112022101211022202001100
432200201020123213021
5112313312444133144
62042002102412013
7132013204323111
oct16404110334711
93468354282040
10996988271049
11354902984401
12141281431009
13730283387c4
143637c46a041
151ae02157269
hexe82121b9c9

996988271049 has 27 divisors (see below), whose sum is σ = 1449496417863. Its totient is φ = 660347354592.

The previous prime is 996988271047. The next prime is 996988271077. The reversal of 996988271049 is 940172889699.

The square root of 996988271049 is 998493.

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., 729666182025 + 267322089024 = 854205^2 + 517032^2 .

It is not a de Polignac number, because 996988271049 - 21 = 996988271047 is a prime.

It is a super-2 number, since 2×9969882710492 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (996988271047) 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 26 ways as a sum of consecutive naturals, for example, 500243997 + ... + 500245989.

Almost surely, 2996988271049 is an apocalyptic number.

996988271049 is the 998493-rd square number.

996988271049 is the 499247-th centered octagonal number.

It is an amenable number.

996988271049 is a deficient number, since it is larger than the sum of its proper divisors (452508146814).

996988271049 is an frugal number, since it uses more digits than its factorization.

996988271049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 996988271049 in words is "nine hundred ninety-six billion, nine hundred eighty-eight million, two hundred seventy-one thousand, forty-nine".

Divisors: 1 3 9 167 501 1503 1993 5979 17937 27889 83667 251001 332831 998493 2995479 3972049 11916147 35748441 55582777 166748331 500244993 663332183 1989996549 5969989647 110776474561 332329423683 996988271049