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12018453532344 = 233272341831991531
BaseRepresentation
bin1010111011100100001110…
…1001110100111010111000
31120112221201200122200020100
42232321003221310322320
53033402243101013334
641321111253155400
72350206324315240
oct256710351647270
946487650580210
1012018453532344
113913aa7775886
12142130b92bb60
136924488858ac
142d79a6746b20
1515c963013c99
hexaee43a74eb8

12018453532344 has 768 divisors, whose sum is σ = 40471861248000. Its totient is φ = 3147861657600.

The previous prime is 12018453532333. The next prime is 12018453532381. The reversal of 12018453532344 is 44323535481021.

12018453532344 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 84 + 5 + 3 + 532 + 34 + 4 = 666.

It is a super-2 number, since 2×120184535323442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12018453532344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7850066859 + ... + 7850068389.

It is an arithmetic number, because the mean of its divisors is an integer number (52697736000).

Almost surely, 212018453532344 is an apocalyptic number.

12018453532344 is a gapful number since it is divisible by the number (14) 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 12018453532344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235930624000).

12018453532344 is an abundant number, since it is smaller than the sum of its proper divisors (28453407715656).

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

12018453532344 is a wasteful number, since it uses less digits than its factorization.

12018453532344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 12018453532344 in words is "twelve trillion, eighteen billion, four hundred fifty-three million, five hundred thirty-two thousand, three hundred forty-four".