Search a number
-
+
6800142888 = 2333711331109
BaseRepresentation
bin1100101010101000…
…11111001000101000
3122112220200001101000
412111110133020220
5102411314033023
63042434355000
7330341155320
oct62524371050
918486601330
106800142888
11297a55a000
12139942ba60
13844a9b9b6
144871b4280
1529bedc243
hex19551f228

6800142888 has 512 divisors, whose sum is σ = 24735744000. Its totient is φ = 1693612800.

The previous prime is 6800142827. The next prime is 6800142889. The reversal of 6800142888 is 8882410086.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6800142889) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62386578 + ... + 62386686.

It is an arithmetic number, because the mean of its divisors is an integer number (48312000).

Almost surely, 26800142888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6800142888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367872000).

6800142888 is an abundant number, since it is smaller than the sum of its proper divisors (17935601112).

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

6800142888 is a wasteful number, since it uses less digits than its factorization.

6800142888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 6800142888 is about 82462.9788935617. The cubic root of 6800142888 is about 1894.5497442067.

It can be divided in two parts, 68001 and 42888, that added together give a square (110889 = 3332).

The spelling of 6800142888 in words is "six billion, eight hundred million, one hundred forty-two thousand, eight hundred eighty-eight".