Search a number
-
+
4673325888 = 2633711231103
BaseRepresentation
bin1000101101000110…
…10100101101000000
3110001200200112221000
410112203110231000
534032332412023
62051421332000
7223544420550
oct42643245500
913050615830
104673325888
111a88a74a00
12aa5107000
135962818ba
14324947160
151c5429243
hex1168d4b40

4673325888 has 672 divisors, whose sum is σ = 17988239360. Its totient is φ = 1163289600.

The previous prime is 4673325887. The next prime is 4673325913. The reversal of 4673325888 is 8885233764.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4673325883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45372045 + ... + 45372147.

Almost surely, 24673325888 is an apocalyptic number.

4673325888 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 4673325888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994119680).

4673325888 is an abundant number, since it is smaller than the sum of its proper divisors (13314913472).

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

4673325888 is a wasteful number, since it uses less digits than its factorization.

4673325888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 4673325888 is about 68361.7282402954. The cubic root of 4673325888 is about 1671.8938067366.

The spelling of 4673325888 in words is "four billion, six hundred seventy-three million, three hundred twenty-five thousand, eight hundred eighty-eight".