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58412252808 = 2332721323132
BaseRepresentation
bin110110011001101001…
…000011111010001000
312120202211221220001200
4312121221003322020
51424112014042213
642500105144200
74135336646100
oct663151037210
9176684856050
1058412252808
11228552150a8
12b3a218b060
13567b824500
142b81a6c200
1517bd174273
hexd99a43e88

58412252808 has 324 divisors, whose sum is σ = 199912044735. Its totient is φ = 15356210688.

The previous prime is 58412252803. The next prime is 58412252827. The reversal of 58412252808 is 80825221485.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

58412252808 is a `hidden beast` number, since 584 + 12 + 2 + 52 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 5457958884 + 52954293924 = 73878^2 + 230118^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=170898.

It is not an unprimeable number, because it can be changed into a prime (58412252803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186620460 + ... + 186620772.

Almost surely, 258412252808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58412252808

58412252808 is an abundant number, since it is smaller than the sum of its proper divisors (141499791927).

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

58412252808 is a wasteful number, since it uses less digits than its factorization.

58412252808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 58412252808 in words is "fifty-eight billion, four hundred twelve million, two hundred fifty-two thousand, eight hundred eight".