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20497935241 = 7211321812
BaseRepresentation
bin10011000101110001…
…011010101110001001
31221220112110222222201
4103011301122232021
5313434432411431
613225553520201
71323646401100
oct230561325611
957815428881
1020497935241
118769606153
123b80873061
131c188b8c84
14dc64a1037
157ee827461
hex4c5c5ab89

20497935241 has 27 divisors (see below), whose sum is σ = 24191066133. Its totient is φ = 17317964160.

The previous prime is 20497935239. The next prime is 20497935277. The reversal of 20497935241 is 14253979402.

The square root of 20497935241 is 143171.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19355765625 + 1142169616 = 139125^2 + 33796^2 .

It is not a de Polignac number, because 20497935241 - 21 = 20497935239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20497935191 and 20497935200.

It is not an unprimeable number, because it can be changed into a prime (20497935221) 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 26 ways as a sum of consecutive naturals, for example, 113248171 + ... + 113248351.

Almost surely, 220497935241 is an apocalyptic number.

20497935241 is the 143171-st square number.

20497935241 is the 71586-th centered octagonal number.

It is an amenable number.

20497935241 is a deficient number, since it is larger than the sum of its proper divisors (3693130892).

20497935241 is an frugal number, since it uses more digits than its factorization.

20497935241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 20497935241 in words is "twenty billion, four hundred ninety-seven million, nine hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 7 49 113 181 791 1267 5537 8869 12769 20453 32761 89383 143171 229327 625681 1002197 1605289 2311189 3701993 16178323 25913951 113248261 181397657 418325209 2928276463 20497935241