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4113104148 = 2232114252893
BaseRepresentation
bin1111010100101000…
…1111110100010100
3101121122112100011200
43311022033310110
531410423313043
61520050032500
7203632544166
oct36512176424
911548470150
104113104148
11182081602a
12969578730
135071a294a
142b0396936
151911677d3
hexf528fd14

4113104148 has 18 divisors (see below), whose sum is σ = 10397013354. Its totient is φ = 1371034704.

The previous prime is 4113104147. The next prime is 4113104159. The reversal of 4113104148 is 8414013114.

4113104148 is a `hidden beast` number, since 411 + 3 + 104 + 148 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2710451844 + 1402652304 = 52062^2 + 37452^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113104147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57126411 + ... + 57126482.

It is an arithmetic number, because the mean of its divisors is an integer number (577611853).

Almost surely, 24113104148 is an apocalyptic number.

It is an amenable number.

4113104148 is an abundant number, since it is smaller than the sum of its proper divisors (6283909206).

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

4113104148 is a wasteful number, since it uses less digits than its factorization.

4113104148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114252903 (or 114252898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4113104148 is about 64133.4869471480. The cubic root of 4113104148 is about 1602.2240097846.

The spelling of 4113104148 in words is "four billion, one hundred thirteen million, one hundred four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 114252893 228505786 342758679 457011572 685517358 1028276037 1371034716 2056552074 4113104148