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2054345932800 = 21433527217223
BaseRepresentation
bin11101111001010000100…
…011110100000000000000
321021101121220022021122000
4131321100203310000000
5232124300024322200
64211430430544000
7301264415211600
oct35712043640000
97241556267560
102054345932800
117222747a4537
12292190368000
1311b9547b6665
1471606462c00
153868917b300
hex1de508f4000

2054345932800 has 2160 divisors, whose sum is σ = 9337997329920. Its totient is φ = 439961518080.

The previous prime is 2054345932759. The next prime is 2054345932823. The reversal of 2054345932800 is 82395434502.

2054345932800 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 34 + 593 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×20543459328002 (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9212313489 + ... + 9212313711.

It is an arithmetic number, because the mean of its divisors is an integer number (4323146912).

Almost surely, 22054345932800 is an apocalyptic number.

2054345932800 is a gapful number since it is divisible by the number (20) 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 2054345932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668998664960).

2054345932800 is an abundant number, since it is smaller than the sum of its proper divisors (7283651397120).

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

2054345932800 is a wasteful number, since it uses less digits than its factorization.

2054345932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2054345932800 in words is "two trillion, fifty-four billion, three hundred forty-five million, nine hundred thirty-two thousand, eight hundred".