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983193216721 = 389225492
BaseRepresentation
bin11100100111010101110…
…00011110011011010001
310110222210102111101002021
432103222320132123101
5112102034430413341
62031401150451441
7131014305310612
oct16235270363321
93428712441067
10983193216721
11349a73a36961
1213a671503b81
137193a326071
14358302a1c09
151a8960089d1
hexe4eae1e6d1

983193216721 has 9 divisors (see below), whose sum is σ = 986114066161. Its totient is φ = 980281002064.

The previous prime is 983193216713. The next prime is 983193216739. The reversal of 983193216721 is 127612391389.

The square root of 983193216721 is 991561.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50732607121 + 932460609600 = 225239^2 + 965640^2 .

It is not a de Polignac number, because 983193216721 - 23 = 983193216713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983193216521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 385715955 + ... + 385718503.

Almost surely, 2983193216721 is an apocalyptic number.

983193216721 is the 991561-st square number.

983193216721 is the 495781-st centered octagonal number.

It is an amenable number.

983193216721 is a deficient number, since it is larger than the sum of its proper divisors (2920849440).

983193216721 is an frugal number, since it uses more digits than its factorization.

983193216721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 2938 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The spelling of 983193216721 in words is "nine hundred eighty-three billion, one hundred ninety-three million, two hundred sixteen thousand, seven hundred twenty-one".

Divisors: 1 389 2549 151321 991561 6497401 385717229 2527488989 983193216721