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11759299153 = 7334283671
BaseRepresentation
bin10101111001110100…
…01010101001010001
31010100112012021212021
422330322022221101
5143040340033103
65222510331441
7564256252000
oct127472125121
933315167767
1011759299153
114a948aa558
1223421b9b81
1311553299a4
147d7a82c37
1548c576bbd
hex2bce8aa51

11759299153 has 8 divisors (see below), whose sum is σ = 13713468800. Its totient is φ = 10079398980.

The previous prime is 11759299147. The next prime is 11759299199. The reversal of 11759299153 is 35199295711.

11759299153 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 11759299153 - 25 = 11759299121 is a prime.

It is a super-2 number, since 2×117592991532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11759299153.

It is not an unprimeable number, because it can be changed into a prime (11759299133) 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, 17141493 + ... + 17142178.

It is an arithmetic number, because the mean of its divisors is an integer number (1714183600).

Almost surely, 211759299153 is an apocalyptic number.

It is an amenable number.

11759299153 is a deficient number, since it is larger than the sum of its proper divisors (1954169647).

11759299153 is an frugal number, since it uses more digits than its factorization.

11759299153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34283692 (or 34283678 counting only the distinct ones).

The product of its digits is 765450, while the sum is 52.

The spelling of 11759299153 in words is "eleven billion, seven hundred fifty-nine million, two hundred ninety-nine thousand, one hundred fifty-three".

Divisors: 1 7 49 343 34283671 239985697 1679899879 11759299153