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20011471200 = 2534527157281
BaseRepresentation
bin10010101000110001…
…101101000101100000
31220122122010001210000
4102220301231011200
5311440414034300
613105415140000
71305621461430
oct225061550540
956578101700
1020011471200
118539a54556
123a65974600
131b6bb93026
14d7ba302c0
157c1c84c00
hex4a8c6d160

20011471200 has 720 divisors, whose sum is σ = 84233296224. Its totient is φ = 4528742400.

The previous prime is 20011471187. The next prime is 20011471231. The reversal of 20011471200 is 217411002.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71215060 + ... + 71215340.

Almost surely, 220011471200 is an apocalyptic number.

20011471200 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 20011471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42116648112).

20011471200 is an abundant number, since it is smaller than the sum of its proper divisors (64221825024).

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

20011471200 is a wasteful number, since it uses less digits than its factorization.

20011471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 20011471200 its reverse (217411002), we get a palindrome (20228882202).

The spelling of 20011471200 in words is "twenty billion, eleven million, four hundred seventy-one thousand, two hundred".