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20085502068432 = 2433415961487647
BaseRepresentation
bin1001001000100100001010…
…01101110100011011010000
32122010011012011200121122000
410210102011031310123100
510113040102012142212
6110415052520114000
74142062315431213
oct444220515643320
978104164617560
1020085502068432
116444239320609
122304856005900
13b290932a4b38
144d6201a2b77a
1524c70b3d21dc
hex1244853746d0

20085502068432 has 640 divisors, whose sum is σ = 61264478822400. Its totient is φ = 6293185228800.

The previous prime is 20085502068427. The next prime is 20085502068439. The reversal of 20085502068432 is 23486020558002.

20085502068432 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 5 + 5 + 0 + 206 + 8 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085502068439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31044052333 + ... + 31044052979.

It is an arithmetic number, because the mean of its divisors is an integer number (95725748160).

Almost surely, 220085502068432 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 20085502068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30632239411200).

20085502068432 is an abundant number, since it is smaller than the sum of its proper divisors (41178976753968).

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

20085502068432 is a wasteful number, since it uses less digits than its factorization.

20085502068432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 20085502068432 in words is "twenty trillion, eighty-five billion, five hundred two million, sixty-eight thousand, four hundred thirty-two".