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9438946020 = 22325761227541
BaseRepresentation
bin10001100101001101…
…01110001011100100
3220100211001010202100
420302212232023210
5123312332233040
64200341212100
7452622501030
oct106246561344
926324033670
109438946020
114004047939
1219b5101030
13b756a977a
146578371c0
153a39d4b30
hex2329ae2e4

9438946020 has 288 divisors, whose sum is σ = 33466358016. Its totient is φ = 2108851200.

The previous prime is 9438946007. The next prime is 9438946037. The reversal of 9438946020 is 206498349.

9438946020 is a `hidden beast` number, since 9 + 4 + 38 + 9 + 4 + 602 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17446950 + ... + 17447490.

It is an arithmetic number, because the mean of its divisors is an integer number (116202632).

Almost surely, 29438946020 is an apocalyptic number.

9438946020 is a gapful number since it is divisible by the number (90) 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 9438946020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733179008).

9438946020 is an abundant number, since it is smaller than the sum of its proper divisors (24027411996).

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

9438946020 is a wasteful number, since it uses less digits than its factorization.

9438946020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

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

The square root of 9438946020 is about 97154.2383017849. The cubic root of 9438946020 is about 2113.3649519651.

The spelling of 9438946020 in words is "nine billion, four hundred thirty-eight million, nine hundred forty-six thousand, twenty".