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21891367680 = 283571326179
BaseRepresentation
bin10100011000110100…
…111100001100000000
32002111122110200221120
4110120310330030000
5324313142231210
614020131552240
71403326361250
oct243064741400
962448420846
1021891367680
119314119606
1242ab45b680
1320ab4a8300
1410b9583960
15881d21270
hex518d3c300

21891367680 has 864 divisors, whose sum is σ = 89054300160. Its totient is φ = 4485611520.

The previous prime is 21891367657. The next prime is 21891367697. The reversal of 21891367680 is 8676319812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277105881 + ... + 277105959.

Almost surely, 221891367680 is an apocalyptic number.

21891367680 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 21891367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44527150080).

21891367680 is an abundant number, since it is smaller than the sum of its proper divisors (67162932480).

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

21891367680 is a wasteful number, since it uses less digits than its factorization.

21891367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 21891367680 in words is "twenty-one billion, eight hundred ninety-one million, three hundred sixty-seven thousand, six hundred eighty".