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58252382496 = 2534711291869
BaseRepresentation
bin110110010000000111…
…001101000100100000
312120100201010122020000
4312100013031010200
51423300102214441
642432154420000
74131356036640
oct662007150440
9176321118200
1058252382496
1122782a51180
12b358731600
13565467aaa9
142b68734520
1517ae0e52b6
hexd901cd120

58252382496 has 240 divisors, whose sum is σ = 213592800960. Its totient is φ = 15130437120.

The previous prime is 58252382491. The next prime is 58252382537. The reversal of 58252382496 is 69428325285.

58252382496 is a `hidden beast` number, since 5 + 8 + 2 + 523 + 8 + 24 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (58252382491) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 53650 + ... + 345518.

It is an arithmetic number, because the mean of its divisors is an integer number (889970004).

Almost surely, 258252382496 is an apocalyptic number.

58252382496 is a gapful number since it is divisible by the number (56) 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 58252382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106796400480).

58252382496 is an abundant number, since it is smaller than the sum of its proper divisors (155340418464).

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

58252382496 is a wasteful number, since it uses less digits than its factorization.

58252382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291909 (or 291892 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 58252382496 in words is "fifty-eight billion, two hundred fifty-two million, three hundred eighty-two thousand, four hundred ninety-six".