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2054721826304 = 29721919721881
BaseRepresentation
bin11101111001100110111…
…101101110111000000000
321021102121002121122120122
4131321212331232320000
5232131032241420204
64211532015355412
7301306631232200
oct35714675567000
97242532548518
102054721826304
117224479a4924
12292276222b68
1311b9b4637654
1471640350400
15386ac17c0be
hex1de66f6ee00

2054721826304 has 240 divisors, whose sum is σ = 5052806755920. Its totient is φ = 829975265280.

The previous prime is 2054721826303. The next prime is 2054721826307. The reversal of 2054721826304 is 4036281274502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054721826303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93893444 + ... + 93915324.

It is an arithmetic number, because the mean of its divisors is an integer number (21053361483).

Almost surely, 22054721826304 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 2054721826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526403377960).

2054721826304 is an abundant number, since it is smaller than the sum of its proper divisors (2998084929616).

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

2054721826304 is a wasteful number, since it uses less digits than its factorization.

2054721826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22129 (or 22106 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 2054721826304 in words is "two trillion, fifty-four billion, seven hundred twenty-one million, eight hundred twenty-six thousand, three hundred four".