Search a number
-
+
6233085768 = 23372131729827
BaseRepresentation
bin1011100111000010…
…10101011101001000
3121002101122120020110
411303201111131020
5100231132221033
62510300354320
7310314232500
oct56341253510
917071576213
106233085768
112709461658
12125b5459a0
13784468740
14431b64a00
1526732a363
hex173855748

6233085768 has 384 divisors, whose sum is σ = 21408105600. Its totient is φ = 1492033536.

The previous prime is 6233085743. The next prime is 6233085841. The reversal of 6233085768 is 8675803326.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7536571 + ... + 7537397.

It is an arithmetic number, because the mean of its divisors is an integer number (55750275).

Almost surely, 26233085768 is an apocalyptic number.

6233085768 is a gapful number since it is divisible by the number (68) 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 6233085768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704052800).

6233085768 is an abundant number, since it is smaller than the sum of its proper divisors (15175019832).

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

6233085768 is a wasteful number, since it uses less digits than its factorization.

6233085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6233085768 is about 78949.8940341277. The cubic root of 6233085768 is about 1840.3525797250.

The spelling of 6233085768 in words is "six billion, two hundred thirty-three million, eighty-five thousand, seven hundred sixty-eight".