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6320083806 = 234347112429
BaseRepresentation
bin1011110001011010…
…01101001101011110
3121022110100112010000
411320231031031132
5100420420140211
62523045155130
7312421553211
oct57055151536
917273315100
106320083806
112753582563
1212846bbaa6
137994a917a
1443d52d778
1526ecb2656
hex178b4d35e

6320083806 has 40 divisors (see below), whose sum is σ = 14202607320. Its totient is φ = 2100604752.

The previous prime is 6320083789. The next prime is 6320083813. The reversal of 6320083806 is 6083800236.

6320083806 is a nontrivial binomial coefficient, being equal to C(112429, 2).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1 + ... + 112428.

It is an arithmetic number, because the mean of its divisors is an integer number (355065183).

Almost surely, 26320083806 is an apocalyptic number.

6320083806 is the 112428-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6320083806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101303660).

6320083806 is an abundant number, since it is smaller than the sum of its proper divisors (7882523514).

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

6320083806 is a wasteful number, since it uses less digits than its factorization.

6320083806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112790 (or 112781 counting only the distinct ones).

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

The square root of 6320083806 is about 79498.9547478456. The cubic root of 6320083806 is about 1848.8752653048.

The spelling of 6320083806 in words is "six billion, three hundred twenty million, eighty-three thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 347 694 1041 2082 3123 6246 9369 18738 28107 56214 112429 224858 337287 674574 1011861 2023722 3035583 6071166 9106749 18213498 39012863 78025726 117038589 234077178 351115767 702231534 1053347301 2106694602 3160041903 6320083806