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20241457256761 = 1319257582154779
BaseRepresentation
bin1001001101000110101001…
…10111101001100100111001
32122200001201221220001010021
410212203110313221210321
510123114001024204021
6111014444101050441
74156253115602446
oct446432467514471
978601657801107
1020241457256761
1164a4398a22904
12232ab1b0b6a21
13b3a9b8560370
144dd9982849cd
152517d7be6c41
hex1268d4de9939

20241457256761 has 32 divisors (see below), whose sum is σ = 23039442518400. Its totient is φ = 17628804956160.

The previous prime is 20241457256749. The next prime is 20241457256803. The reversal of 20241457256761 is 16765275414202.

It is a cyclic number.

It is not a de Polignac number, because 20241457256761 - 29 = 20241457256249 is a prime.

It is a super-2 number, since 2×202414572567612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20241457256699 and 20241457256708.

It is not an unprimeable number, because it can be changed into a prime (20241457256711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369483870 + ... + 369538648.

It is an arithmetic number, because the mean of its divisors is an integer number (719982578700).

Almost surely, 220241457256761 is an apocalyptic number.

It is an amenable number.

20241457256761 is a deficient number, since it is larger than the sum of its proper divisors (2797985261639).

20241457256761 is a wasteful number, since it uses less digits than its factorization.

20241457256761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60889.

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 20241457256761 in words is "twenty trillion, two hundred forty-one billion, four hundred fifty-seven million, two hundred fifty-six thousand, seven hundred sixty-one".

Divisors: 1 13 19 247 257 3341 4883 5821 54779 63479 75673 110599 712127 1040801 1437787 1495997 13530413 14078203 19447961 28423943 183016639 267485857 318868559 369511259 3477316141 4145291267 6058502621 78760534073 81949219663 1065339855619 1557035173597 20241457256761