Search a number
-
+
80927429184 = 263571734297
BaseRepresentation
bin100101101011110100…
…1101001001001000000
321201212222020100200000
41023113221221021000
52311214410213214
6101102203400000
75563312540530
oct1132751511100
9251788210600
1080927429184
1131359473388
1213826523000
137829313294
143cb9dd54c0
152189b17809
hex12d7a69240

80927429184 has 336 divisors, whose sum is σ = 276573618048. Its totient is φ = 22983118848.

The previous prime is 80927429183. The next prime is 80927429189. The reversal of 80927429184 is 48192472908.

80927429184 is a `hidden beast` number, since 8 + 0 + 9 + 274 + 291 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80927429184.

It is not an unprimeable number, because it can be changed into a prime (80927429183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18831324 + ... + 18835620.

It is an arithmetic number, because the mean of its divisors is an integer number (823135768).

Almost surely, 280927429184 is an apocalyptic number.

80927429184 is a gapful number since it is divisible by the number (84) 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 80927429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138286809024).

80927429184 is an abundant number, since it is smaller than the sum of its proper divisors (195646188864).

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

80927429184 is a wasteful number, since it uses less digits than its factorization.

80927429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 80927429184 in words is "eighty billion, nine hundred twenty-seven million, four hundred twenty-nine thousand, one hundred eighty-four".