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20944936800 = 2533522921153
BaseRepresentation
bin10011100000011010…
…100101111101100000
32000001200121000212000
4103200122211331200
5320343400434200
613342202404000
71341015011454
oct234032457540
960050530760
1020944936800
118978964027
124086500600
131c8a3a5c38
1410299bc664
15828bc2300
hex4e06a5f60

20944936800 has 432 divisors, whose sum is σ = 78521068080. Its totient is φ = 5388042240.

The previous prime is 20944936783. The next prime is 20944936807. The reversal of 20944936800 is 863944902.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20944936807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18165024 + ... + 18166176.

Almost surely, 220944936800 is an apocalyptic number.

20944936800 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 20944936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39260534040).

20944936800 is an abundant number, since it is smaller than the sum of its proper divisors (57576131280).

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

20944936800 is a wasteful number, since it uses less digits than its factorization.

20944936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20944936800 in words is "twenty billion, nine hundred forty-four million, nine hundred thirty-six thousand, eight hundred".