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6823231128 = 2333729612551
BaseRepresentation
bin1100101101011001…
…00011111010011000
3122121112010001111000
412112230203322120
5102433221344003
63045021305000
7331041336060
oct62654437230
918545101430
106823231128
11299159959a
1213a5105160
138497c398c
1448a2a43a0
1529e04d1a3
hex196b23e98

6823231128 has 256 divisors, whose sum is σ = 22784256000. Its totient is φ = 1850688000.

The previous prime is 6823231123. The next prime is 6823231141. The reversal of 6823231128 is 8211323286.

It is a super-2 number, since 2×68232311282 = 93112966052216304768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 6823231092 and 6823231101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823231123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673453 + ... + 2676003.

It is an arithmetic number, because the mean of its divisors is an integer number (89001000).

Almost surely, 26823231128 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 6823231128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392128000).

6823231128 is an abundant number, since it is smaller than the sum of its proper divisors (15961024872).

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

6823231128 is a wasteful number, since it uses less digits than its factorization.

6823231128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2653 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6823231128 is about 82602.8518151765. The cubic root of 6823231128 is about 1896.6914838805.

The spelling of 6823231128 in words is "six billion, eight hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty-eight".