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997543510441 = 661215112
BaseRepresentation
bin11101000010000100011…
…10100000000110101001
310112100211112002211022021
432201002032200012221
5112320432114313231
62042133135224441
7132033025635622
oct16410216400651
93470745084267
10997543510441
1135506833aa35
121413b7378121
13730b6391a1a
14363d20c0a49
151ae35c82811
hexe8423a01a9

997543510441 has 9 divisors (see below), whose sum is σ = 999716562039. Its totient is φ = 995375178600.

The previous prime is 997543510433. The next prime is 997543510463. The reversal of 997543510441 is 144015345799.

It is a happy number.

The square root of 997543510441 is 998771.

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

It can be written as a sum of positive squares in only one way, i.e., 792062620441 + 205480890000 = 889979^2 + 453300^2 .

It is not a de Polignac number, because 997543510441 - 23 = 997543510433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997543510421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 660186876 + ... + 660188386.

Almost surely, 2997543510441 is an apocalyptic number.

997543510441 is the 998771-st square number.

997543510441 is the 499386-th centered octagonal number.

It is an amenable number.

997543510441 is a deficient number, since it is larger than the sum of its proper divisors (2173051598).

997543510441 is an frugal number, since it uses more digits than its factorization.

997543510441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

It can be divided in two parts, 997543 and 510441, that added together give a square (1507984 = 12282).

The spelling of 997543510441 in words is "nine hundred ninety-seven billion, five hundred forty-three million, five hundred ten thousand, four hundred forty-one".

Divisors: 1 661 1511 436921 998771 2283121 660187631 1509142981 997543510441