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4500344430054 = 23211237412834813
BaseRepresentation
bin100000101111101000101…
…1011100101110111100110
3120221020011202000021101100
41001133101123211313212
51042213201133230204
613323232451340530
7643065505330644
oct101372133456746
916836152007340
104500344430054
11148564911a500
126082442b1746
132684c43cc375
14117b641c0194
157c0e6e76a39
hex417d16e5de6

4500344430054 has 288 divisors, whose sum is σ = 11318100891552. Its totient is φ = 1289677593600.

The previous prime is 4500344430019. The next prime is 4500344430119.

4500344430054 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 344 + 4 + 300 + 5 + 4 = 666.

4500344430054 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 935036952 + ... + 935041764.

It is an arithmetic number, because the mean of its divisors is an integer number (39298961429).

Almost surely, 24500344430054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500344430054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659050445776).

4500344430054 is an abundant number, since it is smaller than the sum of its proper divisors (6817756461498).

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

4500344430054 is a wasteful number, since it uses less digits than its factorization.

4500344430054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 4500344430054 in words is "four trillion, five hundred billion, three hundred forty-four million, four hundred thirty thousand, fifty-four".