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58299678720 = 21534523191
BaseRepresentation
bin110110010010111011…
…101000000000000000
312120111000010112110000
4312102323220000000
51423344204204340
642441004240000
74132502043543
oct662273500000
9176430115400
1058299678720
11227a7715568
12b370540000
1356613ca61a
142b70b2685a
1517b3338d30
hexd92ee8000

58299678720 has 640 divisors, whose sum is σ = 219241313280. Its totient is φ = 14792785920.

The previous prime is 58299678719. The next prime is 58299678733. The reversal of 58299678720 is 2787699285.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 39 ways as a sum of consecutive naturals, for example, 305233825 + ... + 305234015.

It is an arithmetic number, because the mean of its divisors is an integer number (342564552).

Almost surely, 258299678720 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 58299678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620656640).

58299678720 is an abundant number, since it is smaller than the sum of its proper divisors (160941634560).

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

58299678720 is an equidigital number, since it uses as much as digits as its factorization.

58299678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 58299678720 in words is "fifty-eight billion, two hundred ninety-nine million, six hundred seventy-eight thousand, seven hundred twenty".