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896850018000 = 24325387756813
BaseRepresentation
bin11010000110100000110…
…11010011111011010000
310011201221000112102021100
431003100123103323100
5104143222101034000
61524001320224400
7121536531241356
oct15032033237320
93151830472240
10896850018000
113163964aa792
1212599530b100
1366759cb0c31
143159ccdb7d6
15184e0c0da00
hexd0d06d3ed0

896850018000 has 240 divisors, whose sum is σ = 3136025080656. Its totient is φ = 238883097600.

The previous prime is 896850017957. The next prime is 896850018011. The reversal of 896850018000 is 810058698.

896850018000 is a `hidden beast` number, since 8 + 9 + 68 + 500 + 1 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5547866256 + 891302151744 = 74484^2 + 944088^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15757594 + ... + 15814406.

Almost surely, 2896850018000 is an apocalyptic number.

896850018000 is a gapful number since it is divisible by the number (80) 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 896850018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568012540328).

896850018000 is an abundant number, since it is smaller than the sum of its proper divisors (2239175062656).

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

896850018000 is a wasteful number, since it uses less digits than its factorization.

896850018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57719 (or 57700 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 896850018000 in words is "eight hundred ninety-six billion, eight hundred fifty million, eighteen thousand".