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885539342961 = 36721323832
BaseRepresentation
bin11001110001011100100…
…00100000101001110001
310010122201202111121000000
430320232100200221301
5104002041032433321
61514451113220213
7120656330135400
oct14705620405161
93118652447000
10885539342961
11311611967169
12123759401669
13656768bb900
1430c08a79637
151807cc52826
hexce2e420a71

885539342961 has 189 divisors, whose sum is σ = 1676791480059. Its totient is φ = 465878099232.

The previous prime is 885539342951. The next prime is 885539342971. The reversal of 885539342961 is 169243935588.

The square root of 885539342961 is 941031.

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

885539342961 is a `hidden beast` number, since 8 + 8 + 5 + 539 + 3 + 4 + 2 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (885539342951) and next prime (885539342971).

It can be written as a sum of positive squares in only one way, i.e., 130996944225 + 754542398736 = 361935^2 + 868644^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 885539342961 - 25 = 885539342929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (885539342951) 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 188 ways as a sum of consecutive naturals, for example, 2312112976 + ... + 2312113358.

Almost surely, 2885539342961 is an apocalyptic number.

885539342961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

885539342961 is the 941031-st square number.

885539342961 is the 470516-th centered octagonal number.

It is an amenable number.

885539342961 is a deficient number, since it is larger than the sum of its proper divisors (791252137098).

885539342961 is an frugal number, since it uses more digits than its factorization.

885539342961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 406 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 885539342961 in words is "eight hundred eighty-five billion, five hundred thirty-nine million, three hundred forty-two thousand, nine hundred sixty-one".