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21284349109344 = 25332943229281307
BaseRepresentation
bin1001101011011101001100…
…00100010110010001100000
32210100202121212220100002000
410311232212010112101200
510242210321332444334
6113133521152524000
74324513004230416
oct465564604262140
983322555810060
1021284349109344
116866707210452
122479071550600
13bb514aa58919
1453824cd8d2b6
1526d9c4c75299
hex135ba6116460

21284349109344 has 768 divisors, whose sum is σ = 66451093632000. Its totient is φ = 6616283627520.

The previous prime is 21284349109339. The next prime is 21284349109357. The reversal of 21284349109344 is 44390194348212.

21284349109344 is a `hidden beast` number, since 2 + 1 + 28 + 4 + 3 + 491 + 0 + 93 + 44 = 666.

It is a super-2 number, since 2×212843491093442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 69330127239 + ... + 69330127545.

It is an arithmetic number, because the mean of its divisors is an integer number (86524861500).

Almost surely, 221284349109344 is an apocalyptic number.

21284349109344 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 21284349109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33225546816000).

21284349109344 is an abundant number, since it is smaller than the sum of its proper divisors (45166744522656).

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

21284349109344 is a wasteful number, since it uses less digits than its factorization.

21284349109344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 21284349109344 in words is "twenty-one trillion, two hundred eighty-four billion, three hundred forty-nine million, one hundred nine thousand, three hundred forty-four".