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20471730400 = 25521131101743
BaseRepresentation
bin10011000100001101…
…011101000011100000
31221211201011122201001
4103010031131003200
5313411230333100
613223220121344
71323210560122
oct230415350340
957751148631
1020471730400
118755838060
123b73b36254
131c13342554
14dc2bdd212
157ec39cd6a
hex4c435d0e0

20471730400 has 288 divisors, whose sum is σ = 56912357376. Its totient is φ = 7123200000.

The previous prime is 20471730397. The next prime is 20471730437. The reversal of 20471730400 is 403717402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27552429 + ... + 27553171.

It is an arithmetic number, because the mean of its divisors is an integer number (197612352).

Almost surely, 220471730400 is an apocalyptic number.

20471730400 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 20471730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28456178688).

20471730400 is an abundant number, since it is smaller than the sum of its proper divisors (36440626976).

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

20471730400 is a wasteful number, since it uses less digits than its factorization.

20471730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 20471730400 in words is "twenty billion, four hundred seventy-one million, seven hundred thirty thousand, four hundred".