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992954453841 = 3472158172
BaseRepresentation
bin11100111001100001011…
…00101000111101010001
310111220222200222121010000
432130300230220331101
5112232032320010331
62040053524000213
7131511223412100
oct16346054507521
93456880877100
10992954453841
113531229a2879
12140536530069
137283470680c
14360b8832037
151ac67e520e6
hexe730b28f51

992954453841 has 45 divisors (see below), whose sum is σ = 1725583238379. Its totient is φ = 567366672096.

The previous prime is 992954453839. The next prime is 992954453861. The reversal of 992954453841 is 148354459299.

The square root of 992954453841 is 996471.

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

992954453841 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 54 + 4 + 538 + 41 = 666.

992954453841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 885302219025 + 107652234816 = 940905^2 + 328104^2 .

It is not a de Polignac number, because 992954453841 - 21 = 992954453839 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (992954453861) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62769765 + ... + 62785581.

Almost surely, 2992954453841 is an apocalyptic number.

992954453841 is the 996471-st square number.

992954453841 is the 498236-th centered octagonal number.

It is an amenable number.

992954453841 is a deficient number, since it is larger than the sum of its proper divisors (732628784538).

992954453841 is an frugal number, since it uses more digits than its factorization.

992954453841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31660 (or 15827 counting only the distinct ones).

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

The spelling of 992954453841 in words is "nine hundred ninety-two billion, nine hundred fifty-four million, four hundred fifty-three thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 15817 47451 110719 142353 332157 427059 775033 996471 1281177 2325099 2989413 6975297 8968239 20925891 62777673 250177489 750532467 1751242423 2251597401 5253727269 6754792203 12258696961 15761181807 20264376609 36776090883 47283545421 110328272649 141850636263 330984817947 992954453841