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11661165660 = 2235569341569
BaseRepresentation
bin10101101110000111…
…10100010001011100
31010002200112121000110
422313003310101130
5142340224300120
65205043130020
7561655162344
oct126703642134
933080477013
1011661165660
114a444733a1
122315373910
13113abba931
147c8a19d24
15483b402e0
hex2b70f445c

11661165660 has 48 divisors (see below), whose sum is σ = 32708743200. Its totient is φ = 3104169984.

The previous prime is 11661165653. The next prime is 11661165661. The reversal of 11661165660 is 6656116611.

11661165660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×116611656603 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661165661) 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 15 ways as a sum of consecutive naturals, for example, 136645 + ... + 204924.

It is an arithmetic number, because the mean of its divisors is an integer number (681432150).

Almost surely, 211661165660 is an apocalyptic number.

11661165660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11661165660 is an abundant number, since it is smaller than the sum of its proper divisors (21047577540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11661165660 is a wasteful number, since it uses less digits than its factorization.

11661165660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342150 (or 342148 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 11661165660 in words is "eleven billion, six hundred sixty-one million, one hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 569 1138 1707 2276 2845 3414 5690 6828 8535 11380 17070 34140 341569 683138 1024707 1366276 1707845 2049414 3415690 4098828 5123535 6831380 10247070 20494140 194352761 388705522 583058283 777411044 971763805 1166116566 1943527610 2332233132 2915291415 3887055220 5830582830 11661165660