Search a number
-
+
4662224664 = 2333137257659
BaseRepresentation
bin1000101011110001…
…11110011100011000
3110000220210112220120
410111320332130120
534022012142124
62050343353240
7223351153506
oct42570763430
913026715816
104662224664
111a82782439
12aa1452820
13593b95a26
14323297676
151c4484d79
hex115e3e718

4662224664 has 128 divisors (see below), whose sum is σ = 12423628800. Its totient is φ = 1455390720.

The previous prime is 4662224657. The next prime is 4662224761. The reversal of 4662224664 is 4664222664.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7074367 + ... + 7075025.

It is an arithmetic number, because the mean of its divisors is an integer number (97059600).

Almost surely, 24662224664 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 4662224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211814400).

4662224664 is an abundant number, since it is smaller than the sum of its proper divisors (7761404136).

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

4662224664 is a wasteful number, since it uses less digits than its factorization.

4662224664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 4662224664 is about 68280.4852355342. The cubic root of 4662224664 is about 1670.5689270787.

The spelling of 4662224664 in words is "four billion, six hundred sixty-two million, two hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 257 296 372 444 514 659 744 771 888 1028 1147 1318 1542 1977 2056 2294 2636 3084 3441 3954 4588 5272 6168 6882 7908 7967 9176 9509 13764 15816 15934 19018 20429 23901 24383 27528 28527 31868 38036 40858 47802 48766 57054 61287 63736 73149 76072 81716 95604 97532 114108 122574 146298 163432 169363 191208 195064 228216 245148 292596 294779 338726 490296 508089 585192 589558 677452 755873 884337 1016178 1179116 1354904 1511746 1768674 2032356 2267619 2358232 3023492 3537348 4064712 4535238 5250253 6046984 6266431 7074696 9070476 10500506 12532862 15750759 18140952 18799293 21001012 25065724 31501518 37598586 42002024 50131448 63003036 75197172 126006072 150394344 194259361 388518722 582778083 777037444 1165556166 1554074888 2331112332 4662224664