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58982400000 = 2213255
BaseRepresentation
bin110110111011101000…
…000000000000000000
312122020120210100222100
4312323220000000000
51431243443300000
643032433310400
74155432061566
oct667350000000
9178216710870
1058982400000
1123018033127
12b521105400
13573c99a104
142bd7683a36
151803246a00
hexdbba00000

58982400000 has 396 divisors, whose sum is σ = 212978317734. Its totient is φ = 15728640000.

The previous prime is 58982399999. The next prime is 58982400019. The reversal of 58982400000 is 428985.

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.

It can be written as a sum of positive squares in 3 ways, for example, as 84934656 + 58897465344 = 9216^2 + 242688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11796479998 + ... + 11796480002.

Almost surely, 258982400000 is an apocalyptic number.

58982400000 is a gapful number since it is divisible by the number (50) 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 58982400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106489158867).

58982400000 is an abundant number, since it is smaller than the sum of its proper divisors (153995917734).

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

58982400000 is an frugal number, since it uses more digits than its factorization.

58982400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

58982400000 divided by its product of nonzero digits (23040) gives a 4-th power (2560000 = 404).

Adding to 58982400000 its reverse (428985), we get a palindrome (58982828985).

The spelling of 58982400000 in words is "fifty-eight billion, nine hundred eighty-two million, four hundred thousand".