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18080139168 = 253373132192
BaseRepresentation
bin10000110101101010…
…010000011110100000
31201200000222020022000
4100311222100132200
5244012003423133
612150024044000
71210020435000
oct206552203640
951600866260
1018080139168
117738849183
123607003600
131921a0c100
14c3732c000
1570c438413
hex435a907a0

18080139168 has 864 divisors, whose sum is σ = 70280784000. Its totient is φ = 4517420544.

The previous prime is 18080139163. The next prime is 18080139169. The reversal of 18080139168 is 86193108081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18080139168 is a `hidden beast` number, since 180 + 80 + 1 + 391 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (18080139163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 951586263 + ... + 951586281.

It is an arithmetic number, because the mean of its divisors is an integer number (81343500).

Almost surely, 218080139168 is an apocalyptic number.

18080139168 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 18080139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140392000).

18080139168 is an abundant number, since it is smaller than the sum of its proper divisors (52200644832).

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

18080139168 is a wasteful number, since it uses less digits than its factorization.

18080139168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 1808013 and 9168, that added together give a palindrome (1817181).

The spelling of 18080139168 in words is "eighteen billion, eighty million, one hundred thirty-nine thousand, one hundred sixty-eight".