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18742154112 = 2733111094523
BaseRepresentation
bin10001011101000111…
…101001001110000000
31210101011200002002000
4101131013221032000
5301340442412422
612335433224000
71232306452503
oct213507511600
953334602060
1018742154112
117a48503870
123770862000
1319c8c0bb26
14c9b21913a
1574a605cac
hex45d1e9380

18742154112 has 256 divisors, whose sum is σ = 60911136000. Its totient is φ = 5626091520.

The previous prime is 18742154087. The next prime is 18742154117. The reversal of 18742154112 is 21145124781.

18742154112 is a `hidden beast` number, since 1 + 87 + 4 + 21 + 541 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742154117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4141483 + ... + 4146005.

It is an arithmetic number, because the mean of its divisors is an integer number (237934125).

Almost surely, 218742154112 is an apocalyptic number.

18742154112 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 18742154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455568000).

18742154112 is an abundant number, since it is smaller than the sum of its proper divisors (42168981888).

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

18742154112 is a wasteful number, since it uses less digits than its factorization.

18742154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4648 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

Adding to 18742154112 its reverse (21145124781), we get a palindrome (39887278893).

The spelling of 18742154112 in words is "eighteen billion, seven hundred forty-two million, one hundred fifty-four thousand, one hundred twelve".