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94088486016 = 2732721978461
BaseRepresentation
bin101011110100000011…
…1000101110010000000
322222212012002022120100
41113220013011302000
53020143123023031
6111120150442400
76540412635600
oct1275007056200
9288765068510
1094088486016
11369a2552158
121629a063400
138b45b85785
1447a7cc6c00
1526aa27ede6
hex15e81c5c80

94088486016 has 288 divisors, whose sum is σ = 316589567580. Its totient is φ = 26742804480.

The previous prime is 94088485999. The next prime is 94088486027. The reversal of 94088486016 is 61068488049.

It can be written as a sum of positive squares in 2 ways, for example, as 71982743616 + 22105742400 = 268296^2 + 148680^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11116026 + ... + 11124486.

Almost surely, 294088486016 is an apocalyptic number.

94088486016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94088486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158294783790).

94088486016 is an abundant number, since it is smaller than the sum of its proper divisors (222501081564).

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

94088486016 is a wasteful number, since it uses less digits than its factorization.

94088486016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 94088486016 in words is "ninety-four billion, eighty-eight million, four hundred eighty-six thousand, sixteen".