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14135167008 = 2533291633461
BaseRepresentation
bin11010010101000010…
…11000100000100000
31100111002210212212000
431022201120200200
5212422100321013
610254341404000
71010165636304
oct151241304040
940432725760
1014135167008
115aa3a2a206
1228a5a09600
131443616461
1498141dd04
1557ae32973
hex34a858820

14135167008 has 192 divisors, whose sum is σ = 42923260800. Its totient is φ = 4520033280.

The previous prime is 14135167003. The next prime is 14135167019. The reversal of 14135167008 is 80076153141.

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

It is not an unprimeable number, because it can be changed into a prime (14135167001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4082398 + ... + 4085858.

It is an arithmetic number, because the mean of its divisors is an integer number (223558650).

Almost surely, 214135167008 is an apocalyptic number.

14135167008 is a gapful number since it is divisible by the number (18) 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 14135167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21461630400).

14135167008 is an abundant number, since it is smaller than the sum of its proper divisors (28788093792).

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

14135167008 is a wasteful number, since it uses less digits than its factorization.

14135167008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14135167008 in words is "fourteen billion, one hundred thirty-five million, one hundred sixty-seven thousand, eight".