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4399116264 = 233371793631
BaseRepresentation
bin1000001100011010…
…10010111111101000
3102100120201021001000
410012031102333220
533002133210024
62004304155000
7214004604564
oct40615227750
912316637030
104399116264
111958206184
12a29308a60
1355151399a
142da3686a4
151ab311cc9
hex106352fe8

4399116264 has 128 divisors (see below), whose sum is σ = 12552192000. Its totient is φ = 1427025600.

The previous prime is 4399116223. The next prime is 4399116311. The reversal of 4399116264 is 4626119934.

4399116264 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 11 + 626 + 4 = 666.

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

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, 1209729 + ... + 1213359.

It is an arithmetic number, because the mean of its divisors is an integer number (98064000).

Almost surely, 24399116264 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 4399116264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276096000).

4399116264 is an abundant number, since it is smaller than the sum of its proper divisors (8153075736).

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

4399116264 is a wasteful number, since it uses less digits than its factorization.

4399116264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3786 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4399116264 is about 66325.8340618495. The cubic root of 4399116264 is about 1638.5328272341.

The spelling of 4399116264 in words is "four billion, three hundred ninety-nine million, one hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 79 108 142 158 213 216 237 284 316 426 474 568 632 639 711 852 948 1278 1422 1704 1896 1917 2133 2556 2844 3631 3834 4266 5112 5609 5688 7262 7668 8532 10893 11218 14524 15336 16827 17064 21786 22436 29048 32679 33654 43572 44872 50481 65358 67308 87144 98037 100962 130716 134616 151443 196074 201924 257801 261432 286849 302886 392148 403848 515602 573698 605772 773403 784296 860547 1031204 1147396 1211544 1546806 1721094 2062408 2294792 2320209 2581641 3093612 3442188 4640418 5163282 6187224 6884376 6960627 7744923 9280836 10326564 13921254 15489846 18561672 20366279 20653128 27842508 30979692 40732558 55685016 61098837 61959384 81465116 122197674 162930232 183296511 244395348 366593022 488790696 549889533 733186044 1099779066 1466372088 2199558132 4399116264