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18978421248 = 293237157709
BaseRepresentation
bin10001101011001100…
…111011101000000000
31210222122020200122200
4101223030323220000
5302331433434443
612415113233200
71241205630123
oct215314735000
953878220580
1018978421248
118059907866
123817a02800
131a35b53877
14cc075c3ba
15761225dd3
hex46b33ba00

18978421248 has 240 divisors, whose sum is σ = 56691509160. Its totient is φ = 6107332608.

The previous prime is 18978421237. The next prime is 18978421271. The reversal of 18978421248 is 84212487981.

It can be written as a sum of positive squares in 4 ways, for example, as 14970011904 + 4008409344 = 122352^2 + 63312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18978421194 and 18978421203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26767518 + ... + 26768226.

Almost surely, 218978421248 is an apocalyptic number.

18978421248 is a gapful number since it is divisible by the number (18) 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 18978421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28345754580).

18978421248 is an abundant number, since it is smaller than the sum of its proper divisors (37713087912).

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

18978421248 is a wasteful number, since it uses less digits than its factorization.

18978421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 908 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 18978421248 in words is "eighteen billion, nine hundred seventy-eight million, four hundred twenty-one thousand, two hundred forty-eight".