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18142389408 = 25311133189479
BaseRepresentation
bin10000111001010111…
…101110010010100000
31201211101002212120110
4100321113232102200
5244123422430113
612200130211320
71211404523403
oct207127562240
951741085513
1018142389408
11776a9a6760
123623a23b40
131931896380
14c416d3d3a
15712b32bc3
hex4395ee4a0

18142389408 has 384 divisors, whose sum is σ = 58525286400. Its totient is φ = 4845772800.

The previous prime is 18142389403. The next prime is 18142389431. The reversal of 18142389408 is 80498324181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18142389401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37875313 + ... + 37875791.

It is an arithmetic number, because the mean of its divisors is an integer number (152409600).

Almost surely, 218142389408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18142389408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262643200).

18142389408 is an abundant number, since it is smaller than the sum of its proper divisors (40382896992).

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

18142389408 is a wasteful number, since it uses less digits than its factorization.

18142389408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 18142389408 in words is "eighteen billion, one hundred forty-two million, three hundred eighty-nine thousand, four hundred eight".