Search a number
-
+
4664444664 = 2331137477523
BaseRepresentation
bin1000101100000010…
…11100011011111000
3110001001222100011210
410112001130123320
534023044212124
62050503123120
7223406061015
oct42601343370
913031870153
104664444664
111a83a59350
12aa21434a0
13594492339
143236b470c
151c4772a29
hex11605c6f8

4664444664 has 64 divisors (see below), whose sum is σ = 13065056640. Its totient is φ = 1375263360.

The previous prime is 4664444639. The next prime is 4664444669.

4664444664 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664444669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228994 + ... + 248529.

It is an arithmetic number, because the mean of its divisors is an integer number (204141510).

Almost surely, 24664444664 is an apocalyptic number.

4664444664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4664444664 is an abundant number, since it is smaller than the sum of its proper divisors (8400611976).

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

4664444664 is a wasteful number, since it uses less digits than its factorization.

4664444664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477580 (or 477576 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The square root of 4664444664 is about 68296.7397757755. The cubic root of 4664444664 is about 1670.8340418963.

The spelling of 4664444664 in words is "four billion, six hundred sixty-four million, four hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 477523 955046 1432569 1910092 2865138 3820184 5252753 5730276 10505506 11460552 15758259 17668351 21011012 31516518 35336702 42022024 53005053 63033036 70673404 106010106 126066072 141346808 194351861 212020212 388703722 424040424 583055583 777407444 1166111166 1554814888 2332222332 4664444664