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766538973 = 3285170997
BaseRepresentation
bin101101101100000…
…111010011011101
31222102101012210100
4231230013103131
53032213221343
6204021331313
724665321334
oct5554072335
91872335710
10766538973
11363767092
12194866b39
13c2a68775
1473b38d1b
15474679d3
hex2db074dd

766538973 has 6 divisors (see below), whose sum is σ = 1107222974. Its totient is φ = 511025976.

The previous prime is 766538939. The next prime is 766538977. The reversal of 766538973 is 379835667.

It can be written as a sum of positive squares in only one way, i.e., 600593049 + 165945924 = 24507^2 + 12882^2 .

It is not a de Polignac number, because 766538973 - 212 = 766534877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766538977) 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 5 ways as a sum of consecutive naturals, for example, 42585490 + ... + 42585507.

Almost surely, 2766538973 is an apocalyptic number.

It is an amenable number.

766538973 is a deficient number, since it is larger than the sum of its proper divisors (340684001).

766538973 is a wasteful number, since it uses less digits than its factorization.

766538973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85171003 (or 85171000 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 766538973 is about 27686.4402370547. The cubic root of 766538973 is about 915.1903106788.

The spelling of 766538973 in words is "seven hundred sixty-six million, five hundred thirty-eight thousand, nine hundred seventy-three".

Divisors: 1 3 9 85170997 255512991 766538973