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11686691025 = 325272072
BaseRepresentation
bin10101110001001010…
…01100000011010001
31010011110120102020100
422320211030003101
5142413243103100
65211354203013
7562415143332
oct127045140321
933143512210
1011686691025
114a57917a39
122321a23469
131143286cb9
147cc182289
15485ed3400
hex2b894c0d1

11686691025 has 27 divisors (see below), whose sum is σ = 20935066971. Its totient is φ = 6232037040.

The previous prime is 11686690999. The next prime is 11686691053. The reversal of 11686691025 is 52019668611.

The square root of 11686691025 is 108105.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4207208769 + 7479482256 = 64863^2 + 86484^2 .

It is not a de Polignac number, because 11686691025 - 25 = 11686690993 is a prime.

It is a super-2 number, since 2×116866910252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1617972 + ... + 1625178.

Almost surely, 211686691025 is an apocalyptic number.

11686691025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11686691025 is the 108105-th square number.

11686691025 is the 54053-rd centered octagonal number.

It is an amenable number.

11686691025 is a deficient number, since it is larger than the sum of its proper divisors (9248375946).

11686691025 is an frugal number, since it uses more digits than its factorization.

11686691025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14430 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11686691025 in words is "eleven billion, six hundred eighty-six million, six hundred ninety-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 7207 21621 36035 64863 108105 180175 324315 540525 1621575 51940849 155822547 259704245 467467641 779112735 1298521225 2337338205 3895563675 11686691025