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21394161360 = 243251113172719
BaseRepresentation
bin10011111011001100…
…001111111011010000
32001012222220000002200
4103323030033323100
5322303401130420
613454531043200
71355111241165
oct237314177320
961188800080
1021394161360
1190894a00a0
124190a40500
13202c4909a0
14106d51806c
1585335ab90
hex4fb30fed0

21394161360 has 720 divisors, whose sum is σ = 89791752960. Its totient is φ = 4499619840.

The previous prime is 21394161359. The next prime is 21394161401. The reversal of 21394161360 is 6316149312.

21394161360 is a `hidden beast` number, since 2 + 1 + 39 + 4 + 1 + 613 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29755081 + ... + 29755799.

It is an arithmetic number, because the mean of its divisors is an integer number (124710768).

Almost surely, 221394161360 is an apocalyptic number.

21394161360 is a gapful number since it is divisible by the number (20) 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 21394161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44895876480).

21394161360 is an abundant number, since it is smaller than the sum of its proper divisors (68397591600).

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

21394161360 is a wasteful number, since it uses less digits than its factorization.

21394161360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21394161360 in words is "twenty-one billion, three hundred ninety-four million, one hundred sixty-one thousand, three hundred sixty".