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161641168 = 24131722689
BaseRepresentation
bin10011010001001…
…11001011010000
3102021011012222221
421220213023100
5312340004133
624012310424
74001633023
oct1150471320
9367135887
10161641168
1183273447
1246172414
1327646780
14176791ba
15e2cda2d
hex9a272d0

161641168 has 60 divisors (see below), whose sum is σ = 358410220. Its totient is φ = 70189056.

The previous prime is 161641163. The next prime is 161641169. The reversal of 161641168 is 861146161.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6190144 + 155451024 = 2488^2 + 12468^2 .

It is a super-2 number, since 2×1616411682 = 52255734384808448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161641163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58768 + ... + 61456.

Almost surely, 2161641168 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 161641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179205110).

161641168 is an abundant number, since it is smaller than the sum of its proper divisors (196769052).

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

161641168 is a wasteful number, since it uses less digits than its factorization.

161641168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2721 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 161641168 is about 12713.8179946073. The cubic root of 161641168 is about 544.7333858520.

The spelling of 161641168 in words is "one hundred sixty-one million, six hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1768 2312 2689 3536 3757 4624 5378 7514 10756 15028 21512 30056 34957 43024 45713 60112 69914 91426 139828 182852 279656 365704 559312 594269 731408 777121 1188538 1554242 2377076 3108484 4754152 6216968 9508304 10102573 12433936 20205146 40410292 80820584 161641168