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10535456001 = 37689972719
BaseRepresentation
bin10011100111111011…
…00100110100000001
31000012020022121200010
421303331210310001
5133034034043001
64501231215133
7522035620110
oct116375446401
930166277603
1010535456001
114516a99034
1220603774a9
13cbb907a45
1471d307c77
15419dcb8d6
hex273f64d01

10535456001 has 16 divisors (see below), whose sum is σ = 16056576000. Its totient is φ = 6019305168.

The previous prime is 10535455999. The next prime is 10535456027. The reversal of 10535456001 is 10065453501.

10535456001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10535456001 - 21 = 10535455999 is a prime.

It is a super-2 number, since 2×105354560012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10535456001.

It is not an unprimeable number, because it can be changed into a prime (10535458001) 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 15 ways as a sum of consecutive naturals, for example, 108520 + ... + 181238.

It is an arithmetic number, because the mean of its divisors is an integer number (1003536000).

Almost surely, 210535456001 is an apocalyptic number.

It is an amenable number.

10535456001 is a deficient number, since it is larger than the sum of its proper divisors (5521119999).

10535456001 is an equidigital number, since it uses as much as digits as its factorization.

10535456001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79628.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10535456001 in words is "ten billion, five hundred thirty-five million, four hundred fifty-six thousand, one".

Divisors: 1 3 7 21 6899 20697 48293 72719 144879 218157 509033 1527099 501688381 1505065143 3511818667 10535456001