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58527941472 = 253371113313759
BaseRepresentation
bin110110100000100010…
…011000001101100000
312121001220122111002000
4312200202120031200
51424331123111342
642515400524000
74141243202610
oct664042301540
9177056574060
1058527941472
1122904551770
12b414a80600
13569979bc40
142b93184a40
1517c83c744c
hexda0898360

58527941472 has 1536 divisors, whose sum is σ = 247106764800. Its totient is φ = 12989030400.

The previous prime is 58527941429. The next prime is 58527941567. The reversal of 58527941472 is 27414972585.

58527941472 is a `hidden beast` number, since 5 + 8 + 527 + 9 + 41 + 4 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 991998979 + ... + 991999037.

It is an arithmetic number, because the mean of its divisors is an integer number (160876800).

Almost surely, 258527941472 is an apocalyptic number.

58527941472 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 58527941472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123553382400).

58527941472 is an abundant number, since it is smaller than the sum of its proper divisors (188578823328).

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

58527941472 is a wasteful number, since it uses less digits than its factorization.

58527941472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

It can be divided in two parts, 58527 and 941472, that added together give a palindrome (999999).

The spelling of 58527941472 in words is "fifty-eight billion, five hundred twenty-seven million, nine hundred forty-one thousand, four hundred seventy-two".