Search a number
-
+
56105601000999 = 31117100183998273
BaseRepresentation
bin11001100000111000110100…
…11010101110011000100111
321100122122100210121111020020
430300130122122232120213
524323213232324012444
6315154320212210223
714550332044553634
oct1460343232563047
9240578323544206
1056105601000999
1116971285105590
126361784309973
13253c973aaa484
14dbd75028318b
1567467e903119
hex33071a6ae627

56105601000999 has 32 divisors (see below), whose sum is σ = 86409575207424. Its totient is φ = 32002843361280.

The previous prime is 56105601000979. The next prime is 56105601001019. The reversal of 56105601000999 is 99900010650165.

It is a happy number.

56105601000999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56105601000979) and next prime (56105601001019).

It is not a de Polignac number, because 56105601000999 - 243 = 47309507978791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56105601000929) 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, 55703527 + ... + 56701799.

It is an arithmetic number, because the mean of its divisors is an integer number (2700299225232).

Almost surely, 256105601000999 is an apocalyptic number.

56105601000999 is a deficient number, since it is larger than the sum of its proper divisors (30303974206425).

56105601000999 is a wasteful number, since it uses less digits than its factorization.

56105601000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098487.

The product of its (nonzero) digits is 656100, while the sum is 51.

The spelling of 56105601000999 in words is "fifty-six trillion, one hundred five billion, six hundred one million, nine hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 11 17 33 51 187 561 100183 300549 998273 1102013 1703111 2994819 3306039 5109333 10981003 16970641 18734221 32943009 50911923 56202663 186677051 560031153 100009983959 300029951877 1100109823549 1700169727303 3300329470647 5100509181909 18701867000333 56105601000999