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21744005472 = 25367133157
BaseRepresentation
bin10100010000000010…
…110011000101100000
32002010101011221000000
4110100002303011200
5324012431133342
613553345300000
71366556665650
oct242002630540
962111157000
1021744005472
119248a19162
12426a034600
132086ac0c37
1410a3b84360
15873e1344c
hex5100b3160

21744005472 has 168 divisors, whose sum is σ = 73353013776. Its totient is φ = 6212526336.

The previous prime is 21744005471. The next prime is 21744005509. The reversal of 21744005472 is 27450044712.

21744005472 is a `hidden beast` number, since 2 + 1 + 74 + 40 + 0 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21744005471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 96718 + ... + 229874.

It is an arithmetic number, because the mean of its divisors is an integer number (436625082).

Almost surely, 221744005472 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 21744005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36676506888).

21744005472 is an abundant number, since it is smaller than the sum of its proper divisors (51609008304).

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

21744005472 is an equidigital number, since it uses as much as digits as its factorization.

21744005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133192 (or 133169 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 21744005472 in words is "twenty-one billion, seven hundred forty-four million, five thousand, four hundred seventy-two".