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58304904840 = 23355713292273
BaseRepresentation
bin110110010011001111…
…100011111010001000
312120111100222001100000
4312103033203322020
51423402023423330
642441312243000
74132564341210
oct662317437210
9176440861300
1058304904840
11227aa664a76
12b372240460
13566250a2c0
142b716c7240
1517b3a1c560
hexd933e3e88

58304904840 has 768 divisors, whose sum is σ = 250307366400. Its totient is φ = 11872272384.

The previous prime is 58304904787. The next prime is 58304904841. The reversal of 58304904840 is 4840940385.

It is a happy number.

58304904840 is a `hidden beast` number, since 5 + 83 + 0 + 4 + 90 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58304904841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25649944 + ... + 25652216.

It is an arithmetic number, because the mean of its divisors is an integer number (325921050).

Almost surely, 258304904840 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 58304904840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125153683200).

58304904840 is an abundant number, since it is smaller than the sum of its proper divisors (192002461560).

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

58304904840 is a wasteful number, since it uses less digits than its factorization.

58304904840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 58304904840 in words is "fifty-eight billion, three hundred four million, nine hundred four thousand, eight hundred forty".