Search a number
-
+
2669922864 = 2433719311499
BaseRepresentation
bin1001111100100011…
…1100101000110000
320220001221010122000
42133020330220300
520432000012424
61120533414000
7123106653450
oct23710745060
96801833560
102669922864
111150113624
1262619a300
133371b561b
141b4843d60
151095e33c9
hex9f23ca30

2669922864 has 320 divisors, whose sum is σ = 9523200000. Its totient is φ = 698906880.

The previous prime is 2669922851. The next prime is 2669922881. The reversal of 2669922864 is 4682299662.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2669922864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1780387 + ... + 1781885.

It is an arithmetic number, because the mean of its divisors is an integer number (29760000).

Almost surely, 22669922864 is an apocalyptic number.

2669922864 is a gapful number since it is divisible by the number (24) 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 2669922864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761600000).

2669922864 is an abundant number, since it is smaller than the sum of its proper divisors (6853277136).

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

2669922864 is a wasteful number, since it uses less digits than its factorization.

2669922864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2669922864 is about 51671.2963259100. The cubic root of 2669922864 is about 1387.2867494031.

The spelling of 2669922864 in words is "two billion, six hundred sixty-nine million, nine hundred twenty-two thousand, eight hundred sixty-four".