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166113636 = 223132367691
BaseRepresentation
bin10011110011010…
…11000101100100
3102120120110001220
421321223011210
5320011114021
624252220340
74054641213
oct1171530544
9376513056
10166113636
11858486a7
124776a6b0
13285513c0
14180c107a
15e8b3cc6
hex9e6b164

166113636 has 96 divisors (see below), whose sum is σ = 442702848. Its totient is φ = 48090240.

The previous prime is 166113551. The next prime is 166113641. The reversal of 166113636 is 636311661.

166113636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166113597 and 166113606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240051 + ... + 240741.

It is an arithmetic number, because the mean of its divisors is an integer number (4611488).

Almost surely, 2166113636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166113636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221351424).

166113636 is an abundant number, since it is smaller than the sum of its proper divisors (276589212).

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

166113636 is a wasteful number, since it uses less digits than its factorization.

166113636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 166113636 is about 12888.5079043309. The cubic root of 166113636 is about 549.7118446486.

The spelling of 166113636 in words is "one hundred sixty-six million, one hundred thirteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 67 69 78 92 134 138 156 201 268 276 299 402 598 691 804 871 897 1196 1382 1541 1742 1794 2073 2613 2764 3082 3484 3588 4146 4623 5226 6164 8292 8983 9246 10452 15893 17966 18492 20033 26949 31786 35932 40066 46297 47679 53898 60099 63572 80132 92594 95358 107796 120198 138891 185188 190716 206609 240396 277782 413218 555564 601861 619827 826436 1064831 1203722 1239654 1805583 2129662 2407444 2479308 3194493 3611166 4259324 6388986 7222332 12777972 13842803 27685606 41528409 55371212 83056818 166113636