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10575998153 = 721012136997
BaseRepresentation
bin10011101100110000…
…01110110011001001
31000022001121101001022
421312120032303021
5133124423420103
64505240202225
7523040333600
oct116630166311
930261541038
1010575998153
114537969a46
122071a69375
13cc7131296
1472485ca37
1541d739138
hex27660ecc9

10575998153 has 12 divisors (see below), whose sum is σ = 12424506372. Its totient is φ = 8975383200.

The previous prime is 10575998143. The next prime is 10575998183. The reversal of 10575998153 is 35189957501.

10575998153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9830325904 + 745672249 = 99148^2 + 27307^2 .

It is not a de Polignac number, because 10575998153 - 24 = 10575998137 is a prime.

It is a super-2 number, since 2×105759981532 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10575998095 and 10575998104.

It is not an unprimeable number, because it can be changed into a prime (10575998143) 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 11 ways as a sum of consecutive naturals, for example, 1063550 + ... + 1073447.

It is an arithmetic number, because the mean of its divisors is an integer number (1035375531).

Almost surely, 210575998153 is an apocalyptic number.

It is an amenable number.

10575998153 is a deficient number, since it is larger than the sum of its proper divisors (1848508219).

10575998153 is a wasteful number, since it uses less digits than its factorization.

10575998153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137112 (or 2137105 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 53.

The spelling of 10575998153 in words is "ten billion, five hundred seventy-five million, nine hundred ninety-eight thousand, one hundred fifty-three".

Divisors: 1 7 49 101 707 4949 2136997 14958979 104712853 215836697 1510856879 10575998153