Search a number
-
+
2664119808 = 2935721923
BaseRepresentation
bin1001111011001011…
…0011111000000000
320212200000022100000
42132302303320000
520424003313213
61120205200000
7123006434100
oct23662637000
96780008300
102664119808
11114790a709
12624260000
13335c3316c
141b3b73200
15108d48c73
hex9ecb3e00

2664119808 has 720 divisors, whose sum is σ = 10188097920. Its totient is φ = 689762304.

The previous prime is 2664119803. The next prime is 2664119813. The reversal of 2664119808 is 8089114662.

It is an interprime number because it is at equal distance from previous prime (2664119803) and next prime (2664119813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664119803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115831285 + ... + 115831307.

It is an arithmetic number, because the mean of its divisors is an integer number (14150136).

Almost surely, 22664119808 is an apocalyptic number.

2664119808 is a gapful number since it is divisible by the number (28) 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 2664119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2664119808 is an abundant number, since it is smaller than the sum of its proper divisors (7523978112).

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

2664119808 is an equidigital number, since it uses as much as digits as its factorization.

2664119808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2664119808 is about 51615.1122056322. The cubic root of 2664119808 is about 1386.2809347877.

The spelling of 2664119808 in words is "two billion, six hundred sixty-four million, one hundred nineteen thousand, eight hundred eight".