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18074835072 = 273473753127
BaseRepresentation
bin10000110101010110…
…000001100010000000
31201122122222202110000
4100311112001202000
5244004124210242
612145314240000
71206624364110
oct206526014200
951578882400
1018074835072
117735856128
123605286000
1319208a2aa8
14c3674b040
1570bc3ba4c
hex435581880

18074835072 has 640 divisors, whose sum is σ = 64834007040. Its totient is φ = 4891041792.

The previous prime is 18074835059. The next prime is 18074835091. The reversal of 18074835072 is 27053847081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142321473 + ... + 142321599.

It is an arithmetic number, because the mean of its divisors is an integer number (101303136).

Almost surely, 218074835072 is an apocalyptic number.

18074835072 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 18074835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32417003520).

18074835072 is an abundant number, since it is smaller than the sum of its proper divisors (46759171968).

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

18074835072 is a wasteful number, since it uses less digits than its factorization.

18074835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 18074835072 in words is "eighteen billion, seventy-four million, eight hundred thirty-five thousand, seventy-two".