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58444968960 = 210335760397
BaseRepresentation
bin110110011011100101…
…110111010000000000
312120212010112001012000
4312123211313100000
51424143403001320
642503234304000
74136215016340
oct663345672000
9176763461160
1058444968960
1122871730244
12b3b1128000
13568553a891
142b86146d20
1517c0e87c90
hexd9b977400

58444968960 has 352 divisors, whose sum is σ = 237378635520. Its totient is φ = 13358628864.

The previous prime is 58444968947. The next prime is 58444968983. The reversal of 58444968960 is 6986944485.

58444968960 is a `hidden beast` number, since 5 + 8 + 4 + 4 + 496 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 937482 + ... + 997878.

Almost surely, 258444968960 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 58444968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118689317760).

58444968960 is an abundant number, since it is smaller than the sum of its proper divisors (178933666560).

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

58444968960 is a wasteful number, since it uses less digits than its factorization.

58444968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60438 (or 60414 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 58444968960 in words is "fifty-eight billion, four hundred forty-four million, nine hundred sixty-eight thousand, nine hundred sixty".