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996461136441 = 323327432
BaseRepresentation
bin11101000000000011011…
…01100100101000111001
310112021001002102112022100
432200001231210220321
5112311223022331231
62041433512214013
7131664143623401
oct16400155445071
93467032375270
10996461136441
11354662374371
1214115499a309
1372c73072a34
143632c44d801
151adc0c2e1e6
hexe801b64a39

996461136441 has 9 divisors (see below), whose sum is σ = 1439337078309. Its totient is φ = 664305427836.

The previous prime is 996461136427. The next prime is 996461136469. The reversal of 996461136441 is 144631164699.

The square root of 996461136441 is 998229.

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

996461136441 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 61 + 136 + 441 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-996461136441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996461136421) 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, 2828316 + ... + 3161058.

Almost surely, 2996461136441 is an apocalyptic number.

996461136441 is the 998229-th square number.

996461136441 is the 499115-th centered octagonal number.

It is an amenable number.

996461136441 is a deficient number, since it is larger than the sum of its proper divisors (442875941868).

996461136441 is an frugal number, since it uses more digits than its factorization.

996461136441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665492 (or 332746 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 996461136441 in words is "nine hundred ninety-six billion, four hundred sixty-one million, one hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 9 332743 998229 2994687 110717904049 332153712147 996461136441