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21250327644 = 223573134903
BaseRepresentation
bin10011110010100111…
…100100010001011100
32000211222020111100000
4103302213210101130
5322010040441034
613432352134300
71351413543000
oct236247442134
960758214300
1021250327644
11901528a757
124150837390
132008740690
141058396700
158458e8599
hex4f29e445c

21250327644 has 288 divisors, whose sum is σ = 69974195200. Its totient is φ = 5603338944.

The previous prime is 21250327633. The next prime is 21250327649. The reversal of 21250327644 is 44672305212.

21250327644 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 3 + 2 + 7 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21250327599 and 21250327608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21250327649) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4331697 + ... + 4336599.

Almost surely, 221250327644 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 21250327644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987097600).

21250327644 is an abundant number, since it is smaller than the sum of its proper divisors (48723867556).

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

21250327644 is a wasteful number, since it uses less digits than its factorization.

21250327644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 21250327644 in words is "twenty-one billion, two hundred fifty million, three hundred twenty-seven thousand, six hundred forty-four".