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9976613689 = 721927512
BaseRepresentation
bin10010100101010011…
…10000101100111001
3221202021202111010201
421102221300230321
5130413003114224
64325545242201
7502141550200
oct112251605471
927667674121
109976613689
11425a5a1589
121b25193361
13c2cbbc913
146a8dd6237
153d5cdda44
hex252a70b39

9976613689 has 27 divisors (see below), whose sum is σ = 12264740901. Its totient is φ = 8090523000.

The previous prime is 9976613683. The next prime is 9976613723. The reversal of 9976613689 is 9863166799.

The square root of 9976613689 is 99883.

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

It is not a de Polignac number, because 9976613689 - 29 = 9976613177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9976613689.

It is not an unprimeable number, because it can be changed into a prime (9976613683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13284064 + ... + 13284814.

It is an arithmetic number, because the mean of its divisors is an integer number (454249663).

Almost surely, 29976613689 is an apocalyptic number.

9976613689 is the 99883-rd square number.

9976613689 is the 49942-nd centered octagonal number.

It is an amenable number.

9976613689 is a deficient number, since it is larger than the sum of its proper divisors (2288127212).

9976613689 is an frugal number, since it uses more digits than its factorization.

9976613689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 64.

The cubic root of 9976613689 is about 2152.7539031136.

Multiplying 9976613689 by its sum of digits (64), we get a square (638503276096 = 7990642).

The spelling of 9976613689 in words is "nine billion, nine hundred seventy-six million, six hundred thirteen thousand, six hundred eighty-nine".

Divisors: 1 7 19 49 133 361 751 931 2527 5257 14269 17689 36799 99883 271111 564001 699181 1897777 3948007 10716019 13284439 27636049 75012133 203604361 525084931 1425230527 9976613689