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161663166 = 232717711063
BaseRepresentation
bin10011010001011…
…00100010111110
3102021012100011200
421220230202332
5312341210131
624013000330
74002054120
oct1150544276
9367170150
10161663166
1183288a25
12461830a6
13276537a2
1417683210
15e2d52e6
hex9a2c8be

161663166 has 96 divisors (see below), whose sum is σ = 430230528. Its totient is φ = 42819840.

The previous prime is 161663147. The next prime is 161663219. The reversal of 161663166 is 661366161.

It is a happy number.

161663166 is a `hidden beast` number, since 1 + 6 + 16 + 631 + 6 + 6 = 666.

161663166 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-2 number, since 2×1616631662 = 52269958482287112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161663166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151551 + ... + 152613.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2161663166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161663166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264).

161663166 is an abundant number, since it is smaller than the sum of its proper divisors (268567362).

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

161663166 is a wasteful number, since it uses less digits than its factorization.

161663166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1163 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 161663166 is about 12714.6830868882. The cubic root of 161663166 is about 544.7580959380.

The spelling of 161663166 in words is "one hundred sixty-one million, six hundred sixty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 306 357 426 497 639 714 994 1063 1071 1207 1278 1491 2126 2142 2414 2982 3189 3621 4473 6378 7242 7441 8449 8946 9567 10863 14882 16898 18071 19134 21726 22323 25347 36142 44646 50694 54213 66969 75473 76041 108426 126497 133938 150946 152082 162639 226419 252994 325278 379491 452838 528311 679257 758982 1056622 1138473 1283041 1358514 1584933 2276946 2566082 3169866 3849123 4754799 7698246 8981287 9509598 11547369 17962574 23094738 26943861 53887722 80831583 161663166