Search a number
-
+
4901648128 = 28132364037
BaseRepresentation
bin1001001000010100…
…10011011100000000
3110122121022112011021
410210022103130000
540014310220003
62130215155224
7232316215216
oct44412233400
913577275137
104901648128
112095941873
12b49675b14
13601674310
14346dbccb6
151da4ca2bd
hex124293700

4901648128 has 72 divisors (see below), whose sum is σ = 10995068448. Its totient is φ = 2163904512.

The previous prime is 4901648123. The next prime is 4901648137. The reversal of 4901648128 is 8218461094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901648123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44526 + ... + 108562.

It is an arithmetic number, because the mean of its divisors is an integer number (152709284).

Almost surely, 24901648128 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 4901648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497534224).

4901648128 is an abundant number, since it is smaller than the sum of its proper divisors (6093420320).

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

4901648128 is a wasteful number, since it uses less digits than its factorization.

4901648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64089 (or 64075 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 4901648128 is about 70011.7713531089. The cubic root of 4901648128 is about 1698.6896624716.

The spelling of 4901648128 in words is "four billion, nine hundred one million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 9568 19136 38272 64037 76544 128074 256148 512296 832481 1024592 1472851 1664962 2049184 2945702 3329924 4098368 5891404 6659848 8196736 11782808 13319696 16393472 19147063 23565616 26639392 38294126 47131232 53278784 76588252 94262464 106557568 153176504 188524928 213115136 306353008 377049856 612706016 1225412032 2450824064 4901648128