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4108660128 = 253214266181
BaseRepresentation
bin1111010011100101…
…0010110110100000
3101121100011120010100
43310321102312200
531403304111003
61515410502400
7203550014646
oct36471226640
911540146110
104108660128
111819260191
12967b94a00
135062a7c51
142ad95b196
15190a8aba3
hexf4e52da0

4108660128 has 36 divisors (see below), whose sum is σ = 11684003058. Its totient is φ = 1369553280.

The previous prime is 4108660123. The next prime is 4108660139. The reversal of 4108660128 is 8210668014.

4108660128 is a `hidden beast` number, since 41 + 0 + 8 + 6 + 601 + 2 + 8 = 666.

4108660128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3758670864 + 349989264 = 61308^2 + 18708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4108660092 and 4108660101.

It is not an unprimeable number, because it can be changed into a prime (4108660123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7132803 + ... + 7133378.

Almost surely, 24108660128 is an apocalyptic number.

4108660128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4108660128 is an abundant number, since it is smaller than the sum of its proper divisors (7575342930).

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

4108660128 is a wasteful number, since it uses less digits than its factorization.

4108660128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266197 (or 14266186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4108660128 is about 64098.8309409774. The cubic root of 4108660128 is about 1601.6467587013.

The spelling of 4108660128 in words is "four billion, one hundred eight million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14266181 28532362 42798543 57064724 85597086 114129448 128395629 171194172 228258896 256791258 342388344 456517792 513582516 684776688 1027165032 1369553376 2054330064 4108660128