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18142404988176 = 24367261520381
BaseRepresentation
bin1000010000000000110111…
…00110101100110100010000
32101020101201101201121000000
410020000123212230310100
54334221121134110201
6102330301130130000
73551513464653300
oct410003346546420
971211641647000
1018142404988176
11586517270a627
122050152880900
13a17a8a9558a1
1446a150597600
15216dd3cd8d86
hex10801b9acd10

18142404988176 has 420 divisors, whose sum is σ = 62311853083404. Its totient is φ = 5098558348800.

The previous prime is 18142404988163. The next prime is 18142404988223. The reversal of 18142404988176 is 67188940424181.

18142404988176 is a `hidden beast` number, since 1 + 8 + 142 + 404 + 9 + 8 + 81 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346831477776 + 17795573510400 = 588924^2 + 4218480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 34603506 + ... + 35123886.

Almost surely, 218142404988176 is an apocalyptic number.

18142404988176 is a gapful number since it is divisible by the number (16) 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 18142404988176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31155926541702).

18142404988176 is an abundant number, since it is smaller than the sum of its proper divisors (44169448095228).

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

18142404988176 is an equidigital number, since it uses as much as digits as its factorization.

18142404988176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520482 (or 520454 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 18142404988176 in words is "eighteen trillion, one hundred forty-two billion, four hundred four million, nine hundred eighty-eight thousand, one hundred seventy-six".