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2004296545944 = 2332711241978439
BaseRepresentation
bin11101001010101001011…
…000100011011010011000
321002121102212112222222100
4131022221120203122120
5230314244403432234
64132432222523400
7264543223354050
oct35125130433230
97077385488870
102004296545944
1170302116a400
12284542a36560
13117009744654
146d019358560
153720a2cd399
hex1d2a9623698

2004296545944 has 288 divisors, whose sum is σ = 6835387104000. Its totient is φ = 519347410560.

The previous prime is 2004296545943. The next prime is 2004296545961. The reversal of 2004296545944 is 4495456924002.

It is a happy number.

2004296545944 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 2 + 9 + 6 + 545 + 94 + 4 = 666.

It is a super-2 number, since 2×20042965459442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004296545943) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 25513077 + ... + 25591515.

It is an arithmetic number, because the mean of its divisors is an integer number (23733983000).

Almost surely, 22004296545944 is an apocalyptic number.

2004296545944 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 2004296545944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417693552000).

2004296545944 is an abundant number, since it is smaller than the sum of its proper divisors (4831090558056).

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

2004296545944 is a wasteful number, since it uses less digits than its factorization.

2004296545944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78899 (or 78881 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2004296545944 in words is "two trillion, four billion, two hundred ninety-six million, five hundred forty-five thousand, nine hundred forty-four".