Search a number
-
+
4128148668 = 2237212975413
BaseRepresentation
bin1111011000001110…
…1000110010111100
3101122200211200101010
43312003220302330
531423301224133
61521344315220
7204204453600
oct36603506274
911580750333
104128148668
111829261216
12972612b10
1350a33c627
142b2391500
1519263a263
hexf60e8cbc

4128148668 has 72 divisors (see below), whose sum is σ = 11215685712. Its totient is φ = 1178343936.

The previous prime is 4128148643. The next prime is 4128148693. The reversal of 4128148668 is 8668418214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4128148643) and next prime (4128148693).

It is a super-2 number, since 2×41281486682 = 34083222850220348448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 759930 + ... + 765342.

Almost surely, 24128148668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128148668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607842856).

4128148668 is an abundant number, since it is smaller than the sum of its proper divisors (7087537044).

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

4128148668 is a wasteful number, since it uses less digits than its factorization.

4128148668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6722 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 4128148668 is about 64250.6705645941. The cubic root of 4128148668 is about 1604.1751202346.

The spelling of 4128148668 in words is "four billion, one hundred twenty-eight million, one hundred forty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1297 2594 3891 5188 5413 7782 9079 10826 15564 16239 18158 21652 27237 32478 36316 37891 54474 63553 64956 75782 108948 113673 127106 151564 190659 227346 254212 265237 381318 454692 530474 762636 795711 1060948 1591422 3182844 7020661 14041322 21061983 28082644 42123966 49144627 84247932 98289254 147433881 196578508 294867762 344012389 589735524 688024778 1032037167 1376049556 2064074334 4128148668