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18420904320 = 27357131931179
BaseRepresentation
bin10001001001111110…
…001011000110000000
31202112210011220012120
4101021332023012000
5300211222414240
612243515524240
71221326050260
oct211176130600
952483156176
1018420904320
1178a3136075
1236a1159680
1319774b0ab0
14c6a6b37a0
1572c2eaad0
hex449f8b180

18420904320 has 1024 divisors, whose sum is σ = 78962688000. Its totient is φ = 3543367680.

The previous prime is 18420904283. The next prime is 18420904321. The reversal of 18420904320 is 2340902481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18420904321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102909991 + ... + 102910169.

It is an arithmetic number, because the mean of its divisors is an integer number (77112000).

Almost surely, 218420904320 is an apocalyptic number.

18420904320 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 18420904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344000).

18420904320 is an abundant number, since it is smaller than the sum of its proper divisors (60541783680).

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

18420904320 is a wasteful number, since it uses less digits than its factorization.

18420904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 18420904320 in words is "eighteen billion, four hundred twenty million, nine hundred four thousand, three hundred twenty".