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104231504160 = 25335719374903
BaseRepresentation
bin110000100010010101…
…1101000100100100000
3100222001001222000201000
41201010223220210200
53201431231113120
6115514442512000
710346645111220
oct1410453504440
9328031860630
10104231504160
1140227a6a883
121824ab05600
139aa1398c64
14508b038080
152aa098d990
hex1844ae8920

104231504160 has 768 divisors, whose sum is σ = 450822758400. Its totient is φ = 21955940352.

The previous prime is 104231504131. The next prime is 104231504161. The reversal of 104231504160 is 61405132401.

It is a happy number.

104231504160 is a `hidden beast` number, since 10 + 4 + 231 + 5 + 0 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104231504161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21256269 + ... + 21261171.

It is an arithmetic number, because the mean of its divisors is an integer number (587008800).

Almost surely, 2104231504160 is an apocalyptic number.

104231504160 is a gapful number since it is divisible by the number (10) 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 104231504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225411379200).

104231504160 is an abundant number, since it is smaller than the sum of its proper divisors (346591254240).

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

104231504160 is a wasteful number, since it uses less digits than its factorization.

104231504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 104231504160 its reverse (61405132401), we get a palindrome (165636636561).

The spelling of 104231504160 in words is "one hundred four billion, two hundred thirty-one million, five hundred four thousand, one hundred sixty".