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11585000710 = 2517148945767
BaseRepresentation
bin10101100101000010…
…10001010100000110
31002220101020000100101
422302201101110012
5142211230010320
65153322434314
7560041611163
oct126241212406
932811200311
1011585000710
114a05481558
1222b396299a
1311281a100a
147bc87106a
1547c0e7c0a
hex2b2851506

11585000710 has 32 divisors (see below), whose sum is σ = 22094959680. Its totient is φ = 4358387712.

The previous prime is 11585000657. The next prime is 11585000717. The reversal of 11585000710 is 1700058511.

11585000710 = T87881 + T87882 + T87883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11585000717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230247 + ... + 276013.

It is an arithmetic number, because the mean of its divisors is an integer number (690467490).

Almost surely, 211585000710 is an apocalyptic number.

11585000710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11585000710 is the 87883-rd centered triangular number.

11585000710 is a deficient number, since it is larger than the sum of its proper divisors (10509958970).

11585000710 is a wasteful number, since it uses less digits than its factorization.

11585000710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47280.

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 11585000710 in words is "eleven billion, five hundred eighty-five million, seven hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 17 34 85 170 1489 2978 7445 14890 25313 45767 50626 91534 126565 228835 253130 457670 778039 1556078 3890195 7780390 68147063 136294126 340735315 681470630 1158500071 2317000142 5792500355 11585000710