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18883144456 = 23111632934493
BaseRepresentation
bin10001100101100001…
…011110101100001000
31210201222222010110121
4101211201132230020
5302133041110311
612401431153024
71235641036201
oct214541365410
953658863417
1018883144456
118010051a10
1237abb15774
131a1c1a4b77
14cb1c3a5a8
15757ba5b71
hex46585eb08

18883144456 has 64 divisors (see below), whose sum is σ = 39002886720. Its totient is φ = 8499582720.

The previous prime is 18883144409. The next prime is 18883144481. The reversal of 18883144456 is 65444138881.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4200546 + ... + 4205038.

It is an arithmetic number, because the mean of its divisors is an integer number (609420105).

Almost surely, 218883144456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18883144456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501443360).

18883144456 is an abundant number, since it is smaller than the sum of its proper divisors (20119742264).

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

18883144456 is a wasteful number, since it uses less digits than its factorization.

18883144456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4962 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 52.

The spelling of 18883144456 in words is "eighteen billion, eight hundred eighty-three million, one hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 163 293 326 586 652 1172 1304 1793 2344 3223 3586 4493 6446 7172 8986 12892 14344 17972 25784 35944 47759 49423 95518 98846 191036 197692 382072 395384 525349 732359 1050698 1316449 1464718 2101396 2632898 2929436 4202792 5265796 5858872 8055949 10531592 14480939 16111898 28961878 32223796 57923756 64447592 115847512 214581187 429162374 858324748 1716649496 2360393057 4720786114 9441572228 18883144456