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18142068432 = 243172347131157
BaseRepresentation
bin10000111001010110…
…011111111011010000
31201211100111120021110
4100321112133323100
5244123332142212
612200115253320
71211402015535
oct207126377320
951740446243
1018142068432
11776a7a7594
1236238aa240
1319317b3247
14c4164cd8c
15712abca3c
hex43959fed0

18142068432 has 320 divisors, whose sum is σ = 53626281984. Its totient is φ = 5253980160.

The previous prime is 18142068421. The next prime is 18142068457. The reversal of 18142068432 is 23486024181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115554498 + ... + 115554654.

Almost surely, 218142068432 is an apocalyptic number.

18142068432 is a gapful number since it is divisible by the number (12) 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 18142068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813140992).

18142068432 is an abundant number, since it is smaller than the sum of its proper divisors (35484213552).

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

18142068432 is a wasteful number, since it uses less digits than its factorization.

18142068432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 18142068432 in words is "eighteen billion, one hundred forty-two million, sixty-eight thousand, four hundred thirty-two".