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21105544550112 = 25321123377828559
BaseRepresentation
bin1001100110010000001000…
…11111000101011011100000
32202201200002200120121021100
410303020010133011123200
510231243123401100422
6112515430414354400
74305553032446361
oct463100437053340
982650080517240
1021105544550112
1167a78a1750650
12244a4901bba00
13ba13239a0599
1452d729c57b68
1526900c4a67ac
hex1332047c56e0

21105544550112 has 288 divisors, whose sum is σ = 70168447964160. Its totient is φ = 5952209218560.

The previous prime is 21105544550059. The next prime is 21105544550131.

21105544550112 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 55 + 44 + 550 + 1 + 12 = 666.

21105544550112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1218312 + ... + 6610247.

It is an arithmetic number, because the mean of its divisors is an integer number (243640444320).

Almost surely, 221105544550112 is an apocalyptic number.

21105544550112 is a gapful number since it is divisible by the number (22) 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 21105544550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35084223982080).

21105544550112 is an abundant number, since it is smaller than the sum of its proper divisors (49062903414048).

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

21105544550112 is a wasteful number, since it uses less digits than its factorization.

21105544550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828646 (or 7828635 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 2110554 and 4550112, that added together give a palindrome (6660666).

The spelling of 21105544550112 in words is "twenty-one trillion, one hundred five billion, five hundred forty-four million, five hundred fifty thousand, one hundred twelve".