Search a number
-
+
6738855144 = 233733126407
BaseRepresentation
bin1100100011010101…
…01100010011101000
3122101122100022101120
412101222230103220
5102300121331034
63032405015240
7325665216000
oct62152542350
918348308346
106738855144
1129489a967a
1213809b4520
13835190868
1447cdbd000
15296932c49
hex191aac4e8

6738855144 has 128 divisors (see below), whose sum is σ = 20281344000. Its totient is φ = 1863207360.

The previous prime is 6738855119. The next prime is 6738855157. The reversal of 6738855144 is 4415588376.

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, 241989 + ... + 268395.

It is an arithmetic number, because the mean of its divisors is an integer number (158448000).

Almost surely, 26738855144 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 6738855144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140672000).

6738855144 is an abundant number, since it is smaller than the sum of its proper divisors (13542488856).

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

6738855144 is a wasteful number, since it uses less digits than its factorization.

6738855144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26468 (or 26450 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 6738855144 is about 82090.5301724870. The cubic root of 6738855144 is about 1888.8408804889.

The spelling of 6738855144 in words is "six billion, seven hundred thirty-eight million, eight hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 343 372 392 434 588 651 686 744 868 1029 1176 1302 1372 1519 1736 2058 2604 2744 3038 4116 4557 5208 6076 8232 9114 10633 12152 18228 21266 26407 31899 36456 42532 52814 63798 79221 85064 105628 127596 158442 184849 211256 255192 316884 369698 554547 633768 739396 818617 1109094 1293943 1478792 1637234 2218188 2455851 2587886 3274468 3881829 4436376 4911702 5175772 5730319 6548936 7763658 9057601 9823404 10351544 11460638 15527316 17190957 18115202 19646808 22921276 27172803 31054632 34381914 36230404 40112233 45842552 54345606 68763828 72460808 80224466 108691212 120336699 137527656 160448932 217382424 240673398 280785631 320897864 481346796 561571262 842356893 962693592 1123142524 1684713786 2246285048 3369427572 6738855144