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18417227040 = 253359743951
BaseRepresentation
bin10001001001110000…
…001001010100100000
31202112112021001221000
4101021300021110200
5300204302231130
612243305032000
71221252563322
oct211160112440
952475231830
1018417227040
1178a10542a3
12369ba85600
1319767c40a4
14c69dd7612
1572bd21260
hex449c09520

18417227040 has 192 divisors, whose sum is σ = 65126315520. Its totient is φ = 4860518400.

The previous prime is 18417227021. The next prime is 18417227051. The reversal of 18417227040 is 4072271481.

18417227040 is a `hidden beast` number, since 18 + 417 + 227 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18417226986 and 18417227004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397065 + ... + 441015.

It is an arithmetic number, because the mean of its divisors is an integer number (339199560).

Almost surely, 218417227040 is an apocalyptic number.

18417227040 is a gapful number since it is divisible by the number (10) 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 18417227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32563157760).

18417227040 is an abundant number, since it is smaller than the sum of its proper divisors (46709088480).

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

18417227040 is a wasteful number, since it uses less digits than its factorization.

18417227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44072 (or 44058 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 18417227040 in words is "eighteen billion, four hundred seventeen million, two hundred twenty-seven thousand, forty".