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6828933150 = 23352131747487
BaseRepresentation
bin1100101110000100…
…10100000000011110
3122121220211202012000
412113002110000132
5102441201330100
63045343423130
7331140655044
oct62702240036
918556752160
106828933150
112994833606
1213a6bb4aa6
1384aa3c160
1448ad4a394
1529e7c7900
hex19709401e

6828933150 has 384 divisors, whose sum is σ = 21958594560. Its totient is φ = 1545246720.

The previous prime is 6828933119. The next prime is 6828933161. The reversal of 6828933150 is 513398286.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6828933096 and 6828933105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14022207 + ... + 14022693.

It is an arithmetic number, because the mean of its divisors is an integer number (57183840).

Almost surely, 26828933150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828933150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979297280).

6828933150 is an abundant number, since it is smaller than the sum of its proper divisors (15129661410).

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

6828933150 is a wasteful number, since it uses less digits than its factorization.

6828933150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6828933150 is about 82637.3592874313. The cubic root of 6828933150 is about 1897.2196776913.

The spelling of 6828933150 in words is "six billion, eight hundred twenty-eight million, nine hundred thirty-three thousand, one hundred fifty".