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21683842992 = 2433721760257
BaseRepresentation
bin10100001100011101…
…010010111110110000
32001222011222100121000
4110030131102332300
5323402030433432
613543400002000
71365226424100
oct241435227660
961864870530
1021683842992
119217a671a9
124251a60300
1320774b8036
141099ba3200
1586d9cc57c
hex50c752fb0

21683842992 has 240 divisors, whose sum is σ = 76662637920. Its totient is φ = 5830852608.

The previous prime is 21683842991. The next prime is 21683843011. The reversal of 21683842992 is 29924838612.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21683842991) 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 47 ways as a sum of consecutive naturals, for example, 329728 + ... + 389984.

It is an arithmetic number, because the mean of its divisors is an integer number (319427658).

Almost surely, 221683842992 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 21683842992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38331318960).

21683842992 is an abundant number, since it is smaller than the sum of its proper divisors (54978794928).

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

21683842992 is a wasteful number, since it uses less digits than its factorization.

21683842992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60305 (or 60286 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 21683842992 in words is "twenty-one billion, six hundred eighty-three million, eight hundred forty-two thousand, nine hundred ninety-two".