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6826063104 = 28347313741
BaseRepresentation
bin1100101101101110…
…10111010100000000
3122121201102221020000
412112313113110000
5102434433004404
63045202120000
7331104402420
oct62667272400
918551387200
106826063104
112993153273
1213a6050000
1384a2759c3
1448a800480
1529e40c339
hex196dd7500

6826063104 has 720 divisors, whose sum is σ = 25262662656. Its totient is φ = 1791590400.

The previous prime is 6826063103. The next prime is 6826063117. The reversal of 6826063104 is 4013606286.

It is a super-2 number, since 2×68260631042 = 93190274999580229632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826063103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166489324 + ... + 166489364.

Almost surely, 26826063104 is an apocalyptic number.

6826063104 is a gapful number since it is divisible by the number (64) 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 6826063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631331328).

6826063104 is an abundant number, since it is smaller than the sum of its proper divisors (18436599552).

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

6826063104 is a wasteful number, since it uses less digits than its factorization.

6826063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6826063104 is about 82619.9921568624. The cubic root of 6826063104 is about 1896.9538542885.

The spelling of 6826063104 in words is "six billion, eight hundred twenty-six million, sixty-three thousand, one hundred four".