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4664114448 = 243722960617
BaseRepresentation
bin1000101100000000…
…01011110100010000
3110001001100120012120
410112000023310100
534023003130243
62050452054240
7223403214210
oct42600136420
913031316176
104664114448
111a83853244
12aa2004380
135943a7c46
1432362a240
151c4709c83
hex11600bd10

4664114448 has 80 divisors (see below), whose sum is σ = 13830602880. Its totient is φ = 1326763008.

The previous prime is 4664114431. The next prime is 4664114453. The reversal of 4664114448 is 8444114664.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46636 + ... + 107252.

It is an arithmetic number, because the mean of its divisors is an integer number (172882536).

Almost surely, 24664114448 is an apocalyptic number.

4664114448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915301440).

4664114448 is an abundant number, since it is smaller than the sum of its proper divisors (9166488432).

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

4664114448 is a wasteful number, since it uses less digits than its factorization.

4664114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60864 (or 60858 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4664114448 is about 68294.3222237398. The cubic root of 4664114448 is about 1670.7946124684.

The spelling of 4664114448 in words is "four billion, six hundred sixty-four million, one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6412 9618 10992 12824 19236 25648 38472 60617 76944 121234 181851 242468 363702 424319 484936 727404 848638 969872 1272957 1454808 1697276 2545914 2909616 3394552 5091828 6789104 10183656 13881293 20367312 27762586 41643879 55525172 83287758 97169051 111050344 166575516 194338102 222100688 291507153 333151032 388676204 583014306 666302064 777352408 1166028612 1554704816 2332057224 4664114448