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6968023920 = 243351113171327
BaseRepresentation
bin1100111110101001…
…11001101101110000
3122222121120021212000
412133110321231300
5103232303231140
63111232534000
7334450140354
oct63724715560
918877507760
106968023920
112a562a4560
1214256b1300
138707bb6a0
144a15d5464
152abaeea30
hex19f539b70

6968023920 has 640 divisors, whose sum is σ = 29878087680. Its totient is φ = 1466449920.

The previous prime is 6968023913. The next prime is 6968023921. The reversal of 6968023920 is 293208696.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968023921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250297 + ... + 5251623.

It is an arithmetic number, because the mean of its divisors is an integer number (46684512).

Almost surely, 26968023920 is an apocalyptic number.

6968023920 is a gapful number since it is divisible by the number (60) 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 6968023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939043840).

6968023920 is an abundant number, since it is smaller than the sum of its proper divisors (22910063760).

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

6968023920 is a wasteful number, since it uses less digits than its factorization.

6968023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6968023920 is about 83474.6902959214. The cubic root of 6968023920 is about 1910.0139724680.

The spelling of 6968023920 in words is "six billion, nine hundred sixty-eight million, twenty-three thousand, nine hundred twenty".