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21310363469916 = 2237171922771433
BaseRepresentation
bin1001101100001101101001…
…01001010000100001011100
32210110020202212111210000000
410312012310221100201130
510243122111022014131
6113153502410534300
74326423446523303
oct466066451204134
983406685453000
1021310363469916
1168767466895a4
122482111737390
13bb77354898a1
145395d9d4143a
1526e4e8a13ce6
hex1361b4a5085c

21310363469916 has 576 divisors, whose sum is σ = 62771616351360. Its totient is φ = 6306460913664.

The previous prime is 21310363469911. The next prime is 21310363469947. The reversal of 21310363469916 is 61996436301312.

It is a happy number.

21310363469916 is a `hidden beast` number, since 2 + 1 + 3 + 103 + 63 + 469 + 9 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310363469911) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 14871153136 + ... + 14871154568.

It is an arithmetic number, because the mean of its divisors is an integer number (108978500610).

Almost surely, 221310363469916 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 21310363469916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385808175680).

21310363469916 is an abundant number, since it is smaller than the sum of its proper divisors (41461252881444).

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

21310363469916 is a wasteful number, since it uses less digits than its factorization.

21310363469916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 21310363469916 in words is "twenty-one trillion, three hundred ten billion, three hundred sixty-three million, four hundred sixty-nine thousand, nine hundred sixteen".