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20440594944 = 293471137173
BaseRepresentation
bin10011000010010110…
…101011101000000000
31221202112120210220000
4103002112223220000
5313330243014234
613220144520000
71322352122160
oct230226535000
957675523800
1020440594944
11873a201580
123b65620000
131c09a607c3
14dbca165a0
157e979c899
hex4c25aba00

20440594944 has 800 divisors, whose sum is σ = 78571506816. Its totient is φ = 5135892480.

The previous prime is 20440594927. The next prime is 20440595051. The reversal of 20440594944 is 44949504402.

It is a self number, because there is not a number n which added to its sum of digits gives 20440594944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118153642 + ... + 118153814.

Almost surely, 220440594944 is an apocalyptic number.

20440594944 is a gapful number since it is divisible by the number (24) 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 20440594944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39285753408).

20440594944 is an abundant number, since it is smaller than the sum of its proper divisors (58130911872).

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

20440594944 is a wasteful number, since it uses less digits than its factorization.

20440594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20440594944 in words is "twenty billion, four hundred forty million, five hundred ninety-four thousand, nine hundred forty-four".