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6133889448 = 233285192909
BaseRepresentation
bin1011011011001101…
…11011100110101000
3120211110222212110200
411231212323212220
5100030233430243
62452354312200
7305001125421
oct55546734650
916743885420
106133889448
112668469a25
121232288660
13769a469ab
14422902648
1525d783ad3
hex16d9bb9a8

6133889448 has 24 divisors (see below), whose sum is σ = 16612617450. Its totient is φ = 2044629792.

The previous prime is 6133889423. The next prime is 6133889449. The reversal of 6133889448 is 8449883316.

It can be written as a sum of positive squares in only one way, i.e., 3068938404 + 3064951044 = 55398^2 + 55362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 6133889394 and 6133889403.

It is not an unprimeable number, because it can be changed into a prime (6133889449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42596383 + ... + 42596526.

Almost surely, 26133889448 is an apocalyptic number.

It is an amenable number.

6133889448 is an abundant number, since it is smaller than the sum of its proper divisors (10478728002).

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

6133889448 is a wasteful number, since it uses less digits than its factorization.

6133889448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85192921 (or 85192914 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 6133889448 is about 78319.1512211413. The cubic root of 6133889448 is about 1830.5375756520.

The spelling of 6133889448 in words is "six billion, one hundred thirty-three million, eight hundred eighty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 85192909 170385818 255578727 340771636 511157454 681543272 766736181 1022314908 1533472362 2044629816 3066944724 6133889448