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21903964992 = 26327132318169
BaseRepresentation
bin10100011001100100…
…111111101101000000
32002112112011201012200
4110121210333231000
5324324403334432
614021301553200
71403541426150
oct243144775500
962475151180
1021903964992
119320243108
1242b3715800
1320b0c99140
1410bb102760
15882eada7c
hex51993fb40

21903964992 has 336 divisors, whose sum is σ = 80636424960. Its totient is φ = 5525397504.

The previous prime is 21903964991. The next prime is 21903965003. The reversal of 21903964992 is 29946930912.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21903964991) 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, 1196484 + ... + 1214652.

It is an arithmetic number, because the mean of its divisors is an integer number (239989360).

Almost surely, 221903964992 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 21903964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40318212480).

21903964992 is an abundant number, since it is smaller than the sum of its proper divisors (58732459968).

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

21903964992 is a wasteful number, since it uses less digits than its factorization.

21903964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18230 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 21903964992 in words is "twenty-one billion, nine hundred three million, nine hundred sixty-four thousand, nine hundred ninety-two".