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21037939200 = 2932523143137
BaseRepresentation
bin10011100101111101…
…010111101000000000
32000022011121001011100
4103211331113220000
5321041203023300
613355324014400
71343224350465
oct234575275000
960264531140
1021037939200
118a16406113
1240b1691400
131ca3739645
1410380ab66c
15831e43700
hex4e5f57a00

21037939200 has 720 divisors, whose sum is σ = 80105515776. Its totient is φ = 5264179200.

The previous prime is 21037939193. The next prime is 21037939283. The reversal of 21037939200 is 293973012.

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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 153561532 + ... + 153561668.

Almost surely, 221037939200 is an apocalyptic number.

21037939200 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 21037939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40052757888).

21037939200 is an abundant number, since it is smaller than the sum of its proper divisors (59067576576).

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

21037939200 is a wasteful number, since it uses less digits than its factorization.

21037939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 21037939200 in words is "twenty-one billion, thirty-seven million, nine hundred thirty-nine thousand, two hundred".