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58478473908192 = 253133710853116689
BaseRepresentation
bin11010100101111100101001…
…01010100000111111100000
321200001111011101121121121010
431102332110222200333200
530131102403310030232
6324212350125500520
715213634045514622
oct1522762452407740
9250044141547533
1058478473908192
11176a6643a993a8
12668562a711740
13268265b860b70
14106253224cc12
156b625c9dc0cc
hex352f94aa0fe0

58478473908192 has 192 divisors, whose sum is σ = 169799196248640. Its totient is φ = 17505305985024.

The previous prime is 58478473908191. The next prime is 58478473908203. The reversal of 58478473908192 is 29180937487485.

58478473908192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58478473908191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501089784 + ... + 501206472.

It is an arithmetic number, because the mean of its divisors is an integer number (884370813795).

Almost surely, 258478473908192 is an apocalyptic number.

58478473908192 is a gapful number since it is divisible by the number (52) 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 58478473908192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84899598124320).

58478473908192 is an abundant number, since it is smaller than the sum of its proper divisors (111320722340448).

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

58478473908192 is a wasteful number, since it uses less digits than its factorization.

58478473908192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127605 (or 127597 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 75.

The spelling of 58478473908192 in words is "fifty-eight trillion, four hundred seventy-eight billion, four hundred seventy-three million, nine hundred eight thousand, one hundred ninety-two".