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10552185009 = 34832915641
BaseRepresentation
bin10011101001111010…
…11001000010110001
31000020101210112120000
421310331121002301
5133102324410014
64503025540213
7522331043532
oct116475310261
930211715500
1010552185009
114525484863
122065aa4669
13cc2214372
14721620689
1541b5d3509
hex274f590b1

10552185009 has 20 divisors (see below), whose sum is σ = 15766041060. Its totient is φ = 7033495680.

The previous prime is 10552184989. The next prime is 10552185023. The reversal of 10552185009 is 90058125501.

It is a happy number.

10552185009 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 6806745009 + 3745440000 = 82503^2 + 61200^2 .

It is not a de Polignac number, because 10552185009 - 211 = 10552182961 is a prime.

It is a super-2 number, since 2×105521850092 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10552185029) 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 19 ways as a sum of consecutive naturals, for example, 666829 + ... + 682469.

It is an arithmetic number, because the mean of its divisors is an integer number (788302053).

Almost surely, 210552185009 is an apocalyptic number.

It is an amenable number.

10552185009 is a deficient number, since it is larger than the sum of its proper divisors (5213856051).

10552185009 is an equidigital number, since it uses as much as digits as its factorization.

10552185009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23982 (or 23973 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 10552185009 in words is "ten billion, five hundred fifty-two million, one hundred eighty-five thousand, nine".

Divisors: 1 3 9 27 81 8329 15641 24987 46923 74961 140769 224883 422307 674649 1266921 130273889 390821667 1172465001 3517395003 10552185009