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983942979721 = 132763032
BaseRepresentation
bin11100101000101111001…
…00100110000010001001
310111001201200022021120021
432110113210212002021
5112110103400322341
62032003412500441
7131042011221562
oct16242744460211
93431650267507
10983942979721
1134a3191849a9
1213a84061a721
1371a29769a00
14358a1ab1169
151a8dbc5a9d1
hexe517926089

983942979721 has 9 divisors (see below), whose sum is σ = 1065467012679. Its totient is φ = 908243154936.

The previous prime is 983942979707. The next prime is 983942979727. The reversal of 983942979721 is 127979249389.

The square root of 983942979721 is 991939.

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., 145553695225 + 838389284496 = 381515^2 + 915636^2 .

It is a de Polignac number, because none of the positive numbers 2k-983942979721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983942979727) 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 8 ways as a sum of consecutive naturals, for example, 12857056 + ... + 12933358.

It is an arithmetic number, because the mean of its divisors is an integer number (118385223631).

Almost surely, 2983942979721 is an apocalyptic number.

983942979721 is the 991939-th square number.

983942979721 is the 495970-th centered octagonal number.

It is an amenable number.

983942979721 is a deficient number, since it is larger than the sum of its proper divisors (81524032958).

983942979721 is an frugal number, since it uses more digits than its factorization.

983942979721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152632 (or 76316 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 70.

The spelling of 983942979721 in words is "nine hundred eighty-three billion, nine hundred forty-two million, nine hundred seventy-nine thousand, seven hundred twenty-one".

Divisors: 1 13 169 76303 991939 12895207 5822147809 75687921517 983942979721