Search a number
-
+
4371661168 = 247315921341
BaseRepresentation
bin1000001001001001…
…00100000101110000
3102021200001101201121
410010210210011300
532423121124133
62001443512024
7213222335560
oct40444440560
912250041647
104371661168
111943763816
12a20088614
13548920174
142d685cda0
151a8bdc02d
hex104924170

4371661168 has 80 divisors (see below), whose sum is σ = 10162206720. Its totient is φ = 1782316800.

The previous prime is 4371661139. The next prime is 4371661187. The reversal of 4371661168 is 8611661734.

It is a super-2 number, since 2×43716611682 = 38222842735598248448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194178 + ... + 215518.

It is an arithmetic number, because the mean of its divisors is an integer number (127027584).

Almost surely, 24371661168 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 4371661168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081103360).

4371661168 is an abundant number, since it is smaller than the sum of its proper divisors (5790545552).

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

4371661168 is a wasteful number, since it uses less digits than its factorization.

4371661168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446 (or 21440 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 4371661168 is about 66118.5387618329. The cubic root of 4371661168 is about 1635.1169905096.

The spelling of 4371661168 in words is "four billion, three hundred seventy-one million, six hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 59 62 112 118 124 217 236 248 413 434 472 496 826 868 944 1652 1736 1829 3304 3472 3658 6608 7316 12803 14632 21341 25606 29264 42682 51212 85364 102424 149387 170728 204848 298774 341456 597548 661571 1195096 1259119 1323142 2390192 2518238 2646284 4630997 5036476 5292568 8813833 9261994 10072952 10585136 17627666 18523988 20145904 35255332 37047976 39032689 70510664 74095952 78065378 141021328 156130756 273228823 312261512 546457646 624523024 1092915292 2185830584 4371661168