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58859051040 = 253251715115923
BaseRepresentation
bin110110110100010001…
…011101100000100000
312121220222200121000100
4312310101131200200
51431020404113130
643012305422400
74152403451616
oct666421354040
9177828617010
1058859051040
1122a64444239
12b4a793aa00
13572026ca6a
142bc51356b6
1517e74cdc60
hexdb445d820

58859051040 has 288 divisors, whose sum is σ = 214093466496. Its totient is φ = 14673715200.

The previous prime is 58859050997. The next prime is 58859051081. The reversal of 58859051040 is 4015095885.

It is a happy number.

58859051040 is a `hidden beast` number, since 5 + 8 + 8 + 5 + 90 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688519 + ... + 3704441.

It is an arithmetic number, because the mean of its divisors is an integer number (743380092).

Almost surely, 258859051040 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 58859051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107046733248).

58859051040 is an abundant number, since it is smaller than the sum of its proper divisors (155234415456).

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

58859051040 is a wasteful number, since it uses less digits than its factorization.

58859051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 58859051040 in words is "fifty-eight billion, eight hundred fifty-nine million, fifty-one thousand, forty".