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11616106060 = 22513412714021
BaseRepresentation
bin10101101000101111…
…11011011001001100
31002222112202022212101
422310113323121030
5142242210343220
65200353244444
7560600162266
oct126427733114
932875668771
1011616106060
114a20a97459
122302263724
131131772150
147c2a4ab36
1547ebde30a
hex2b45fb64c

11616106060 has 96 divisors (see below), whose sum is σ = 27017028864. Its totient is φ = 4167936000.

The previous prime is 11616106037. The next prime is 11616106063. The reversal of 11616106060 is 6060161611.

It is not an unprimeable number, because it can be changed into a prime (11616106063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2886850 + ... + 2890870.

It is an arithmetic number, because the mean of its divisors is an integer number (281427384).

Almost surely, 211616106060 is an apocalyptic number.

11616106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11616106060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508514432).

11616106060 is an abundant number, since it is smaller than the sum of its proper divisors (15400922804).

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

11616106060 is a wasteful number, since it uses less digits than its factorization.

11616106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 11616106060 its reverse (6060161611), we get a palindrome (17676267671).

The spelling of 11616106060 in words is "eleven billion, six hundred sixteen million, one hundred six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 271 410 533 542 820 1066 1084 1355 2132 2665 2710 3523 4021 5330 5420 7046 8042 10660 11111 14092 16084 17615 20105 22222 35230 40210 44444 52273 55555 70460 80420 104546 111110 144443 164861 209092 222220 261365 288886 329722 522730 577772 659444 722215 824305 1045460 1089691 1444430 1648610 2143193 2179382 2888860 3297220 4286386 4358764 5448455 8572772 10715965 10896910 14165983 21431930 21793820 28331966 42863860 44677331 56663932 70829915 89354662 141659830 178709324 223386655 283319660 446773310 580805303 893546620 1161610606 2323221212 2904026515 5808053030 11616106060