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58704085440 = 263257211132909
BaseRepresentation
bin110110101011000010…
…010100000111000000
312121112012002112011200
4312223002110013000
51430211221213230
642545052141200
74145512331100
oct665302240700
9177465075150
1058704085440
1122994a202a0
12b463a67800
1356c7122940
142bac717200
1517d8abd160
hexdab0941c0

58704085440 has 1008 divisors, whose sum is σ = 276042180960. Its totient is φ = 11256053760.

The previous prime is 58704085439. The next prime is 58704085459. The reversal of 58704085440 is 4458040785.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20178706 + ... + 20181614.

It is an arithmetic number, because the mean of its divisors is an integer number (273851370).

Almost surely, 258704085440 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 58704085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138021090480).

58704085440 is an abundant number, since it is smaller than the sum of its proper divisors (217338095520).

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

58704085440 is a wasteful number, since it uses less digits than its factorization.

58704085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 58704085440 in words is "fifty-eight billion, seven hundred four million, eighty-five thousand, four hundred forty".