Search a number
-
+
161168644 = 227213431471
BaseRepresentation
bin10011001101100…
…11110100000100
3102020021012211001
421212303310010
5312224344034
623554223044
73664624300
oct1146636404
9366235731
10161168644
1182a8042a
1245b84a84
132750c680
1417594d00
15e238a14
hex99b3d04

161168644 has 72 divisors (see below), whose sum is σ = 361794048. Its totient is φ = 62233920.

The previous prime is 161168639. The next prime is 161168647. The reversal of 161168644 is 446861161.

Its product of digits (27648) is a multiple of the sum of its prime divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (161168647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108829 + ... + 110299.

Almost surely, 2161168644 is an apocalyptic number.

161168644 is a gapful number since it is divisible by the number (14) 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 161168644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180897024).

161168644 is an abundant number, since it is smaller than the sum of its proper divisors (200625404).

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

161168644 is a wasteful number, since it uses less digits than its factorization.

161168644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 161168644 is about 12695.2213056725. The cubic root of 161168644 is about 544.2020632366.

The spelling of 161168644 in words is "one hundred sixty-one million, one hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 43 49 52 86 91 98 172 182 196 301 364 559 602 637 1118 1204 1274 1471 2107 2236 2548 2942 3913 4214 5884 7826 8428 10297 15652 19123 20594 27391 38246 41188 54782 63253 72079 76492 109564 126506 133861 144158 253012 267722 288316 442771 535444 822289 885542 937027 1644578 1771084 1874054 3099397 3289156 3748108 5756023 6198794 11512046 12397588 23024092 40292161 80584322 161168644