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21104134016 = 277174147719
BaseRepresentation
bin10011101001111001…
…111000011110000000
32000110210011002101012
4103221321320132000
5321210124242031
613410050500052
71344660115340
oct235171703600
960423132335
1021104134016
118a4a808279
12410b894628
131cb4375184
141042bbcd20
15837b6bb2b
hex4e9e78780

21104134016 has 256 divisors, whose sum is σ = 53299814400. Its totient is φ = 8116961280.

The previous prime is 21104134001. The next prime is 21104134039. The reversal of 21104134016 is 61043140112.

It is a junction number, because it is equal to n+sod(n) for n = 21104133982 and 21104134000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29351705 + ... + 29352423.

It is an arithmetic number, because the mean of its divisors is an integer number (208202400).

Almost surely, 221104134016 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 21104134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649907200).

21104134016 is an abundant number, since it is smaller than the sum of its proper divisors (32195680384).

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

21104134016 is a wasteful number, since it uses less digits than its factorization.

21104134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21104134016 its reverse (61043140112), we get a palindrome (82147274128).

The spelling of 21104134016 in words is "twenty-one billion, one hundred four million, one hundred thirty-four thousand, sixteen".