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10058231808 = 21233103883
BaseRepresentation
bin10010101111000010…
…00111000000000000
3221221222100010011000
421113201013000000
5131044401404213
64342022452000
7504152362662
oct112741070000
927858303130
1010058231808
1142a1678479
121b48594000
13c43a98671
146b5ba0532
153dd061c73
hex257847000

10058231808 has 208 divisors, whose sum is σ = 30121911040. Its totient is φ = 3316432896.

The previous prime is 10058231801. The next prime is 10058231879. The reversal of 10058231808 is 80813285001.

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 (10058231801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11390535 + ... + 11391417.

It is an arithmetic number, because the mean of its divisors is an integer number (144816880).

Almost surely, 210058231808 is an apocalyptic number.

10058231808 is a gapful number since it is divisible by the number (18) 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 10058231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060955520).

10058231808 is an abundant number, since it is smaller than the sum of its proper divisors (20063679232).

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

10058231808 is an equidigital number, since it uses as much as digits as its factorization.

10058231808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10058231808 in words is "ten billion, fifty-eight million, two hundred thirty-one thousand, eight hundred eight".