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58094807040 = 21135537631
BaseRepresentation
bin110110000110101110…
…000110100000000000
312112221201121222100000
4312012232012200000
51422434232311130
642404405200000
74124433466164
oct660656064000
9175851558300
1058094807040
1122702005426
12b313a00000
13562ab28a8a
142b51836ca4
1517a036b260
hexd86b86800

58094807040 has 576 divisors, whose sum is σ = 214786615680. Its totient is φ = 15049359360.

The previous prime is 58094807039. The next prime is 58094807083. The reversal of 58094807040 is 4070849085.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 47 ways as a sum of consecutive naturals, for example, 92067525 + ... + 92068155.

It is an arithmetic number, because the mean of its divisors is an integer number (372893430).

Almost surely, 258094807040 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 58094807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107393307840).

58094807040 is an abundant number, since it is smaller than the sum of its proper divisors (156691808640).

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

58094807040 is an equidigital number, since it uses as much as digits as its factorization.

58094807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 58094807040 in words is "fifty-eight billion, ninety-four million, eight hundred seven thousand, forty".