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10581442561 = 56318794747
BaseRepresentation
bin10011101101011010…
…00000000000000001
31000022102211222101001
421312231000000001
5133132322130221
64505553012001
7523134530524
oct116655000001
930272758331
1010581442561
11453aa48458
122073854001
13cc82b9421
14725478bbb
1541de62391
hex276b40001

10581442561 has 4 divisors (see below), whose sum is σ = 10600237872. Its totient is φ = 10562647252.

The previous prime is 10581442519. The next prime is 10581442591. The reversal of 10581442561 is 16524418501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10581442561 - 27 = 10581442433 is a prime.

It is a super-2 number, since 2×105814425612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10581442561.

It is not an unprimeable number, because it can be changed into a prime (10581442591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9396811 + ... + 9397936.

It is an arithmetic number, because the mean of its divisors is an integer number (2650059468).

It is a Proth number, since it is equal to 40365 ⋅ 218 + 1 and 40365 < 218.

Almost surely, 210581442561 is an apocalyptic number.

It is an amenable number.

10581442561 is a deficient number, since it is larger than the sum of its proper divisors (18795311).

10581442561 is an equidigital number, since it uses as much as digits as its factorization.

10581442561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795310.

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 10581442561 in words is "ten billion, five hundred eighty-one million, four hundred forty-two thousand, five hundred sixty-one".

Divisors: 1 563 18794747 10581442561