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18601427117112 = 2337192312719310337
BaseRepresentation
bin1000011101010111110110…
…11101001010010000111000
32102212021112102211202211020
410032223323131022100320
54414231210320221422
6103321213323302440
73626623463455050
oct416537335122070
972767472752736
1018601427117112
115a2190373aa84
1221050b837aa20
13a4c151261378
144844573c2560
15223cec17595c
hex10eafb74a438

18601427117112 has 512 divisors, whose sum is σ = 59146724966400. Its totient is φ = 4752922116096.

The previous prime is 18601427117111. The next prime is 18601427117129. The reversal of 18601427117112 is 21171172410681.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18601427117111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1799494408 + ... + 1799504744.

It is an arithmetic number, because the mean of its divisors is an integer number (115520947200).

Almost surely, 218601427117112 is an apocalyptic number.

18601427117112 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 18601427117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573362483200).

18601427117112 is an abundant number, since it is smaller than the sum of its proper divisors (40545297849288).

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

18601427117112 is a wasteful number, since it uses less digits than its factorization.

18601427117112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 42.

Adding to 18601427117112 its reverse (21171172410681), we get a palindrome (39772599527793).

The spelling of 18601427117112 in words is "eighteen trillion, six hundred one billion, four hundred twenty-seven million, one hundred seventeen thousand, one hundred twelve".