Search a number
-
+
6366030944 = 257138326339
BaseRepresentation
bin1011110110111000…
…11110110001100000
3121102122210212201212
411323130132301200
5101014200442234
62531410045252
7313520240660
oct57334366140
917378725655
106366030944
1127775052a9
121297b79828
137a5b75920
144456901a0
15273d3b5ce
hex17b71ec60

6366030944 has 96 divisors (see below), whose sum is σ = 15611823360. Its totient is φ = 2487992832.

The previous prime is 6366030887. The next prime is 6366030973. The reversal of 6366030944 is 4490306636.

It is a happy number.

It is a super-2 number, since 2×63660309442 = 81052699959931062272, 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, 228527 + ... + 254865.

It is an arithmetic number, because the mean of its divisors is an integer number (162623160).

Almost surely, 26366030944 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 6366030944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805911680).

6366030944 is an abundant number, since it is smaller than the sum of its proper divisors (9245792416).

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

6366030944 is a wasteful number, since it uses less digits than its factorization.

6366030944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26452 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The square root of 6366030944 is about 79787.4109368138. The cubic root of 6366030944 is about 1853.3449048959.

The spelling of 6366030944 in words is "six billion, three hundred sixty-six million, thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 83 91 104 112 166 182 208 224 332 364 416 581 664 728 1079 1162 1328 1456 2158 2324 2656 2912 4316 4648 7553 8632 9296 15106 17264 18592 26339 30212 34528 52678 60424 105356 120848 184373 210712 241696 342407 368746 421424 684814 737492 842848 1369628 1474984 2186137 2396849 2739256 2949968 4372274 4793698 5478512 5899936 8744548 9587396 10957024 15302959 17489096 19174792 28419781 30605918 34978192 38349584 56839562 61211836 69956384 76699168 113679124 122423672 198938467 227358248 244847344 397876934 454716496 489694688 795753868 909432992 1591507736 3183015472 6366030944