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10509656413 = 57197718839
BaseRepresentation
bin10011100100110110…
…01010000101011101
31000010102202212021211
421302123022011131
5133010433001123
64454510224421
7521303414464
oct116233120535
930112685254
1010509656413
114503477463
1220537b5111
13cb6473909
14719b0d9db
154179d240d
hex2726ca15d

10509656413 has 8 divisors (see below), whose sum is σ = 10539397440. Its totient is φ = 10479956160.

The previous prime is 10509656357. The next prime is 10509656419. The reversal of 10509656413 is 31465690501.

It is a happy number.

10509656413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10509656413 is a prime.

It is a super-2 number, since 2×105096564132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509656419) 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 7 ways as a sum of consecutive naturals, for example, 548448 + ... + 567286.

It is an arithmetic number, because the mean of its divisors is an integer number (1317424680).

Almost surely, 210509656413 is an apocalyptic number.

It is an amenable number.

10509656413 is a deficient number, since it is larger than the sum of its proper divisors (29741027).

10509656413 is an equidigital number, since it uses as much as digits as its factorization.

10509656413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20387.

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 10509656413 in words is "ten billion, five hundred nine million, six hundred fifty-six thousand, four hundred thirteen".

Divisors: 1 571 977 18839 557867 10757069 18405703 10509656413