Search a number
-
+
4891135568 = 2411214871699
BaseRepresentation
bin1001000111000100…
…01100111001010000
3110121212112102122012
410203202030321100
540004112314233
62125202002052
7232130652314
oct44342147120
913555472565
104891135568
11208aa11600
12b46046328
135cc433377
14345843b44
151d9600548
hex12388ce50

4891135568 has 60 divisors (see below), whose sum is σ = 10429540800. Its totient is φ = 2220440640.

The previous prime is 4891135567. The next prime is 4891135573. The reversal of 4891135568 is 8655311984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4891135567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2877983 + ... + 2879681.

It is an arithmetic number, because the mean of its divisors is an integer number (173825680).

Almost surely, 24891135568 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 4891135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214770400).

4891135568 is an abundant number, since it is smaller than the sum of its proper divisors (5538405232).

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

4891135568 is a wasteful number, since it uses less digits than its factorization.

4891135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3199 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 50.

The square root of 4891135568 is about 69936.6539662858. The cubic root of 4891135568 is about 1697.4744005747.

The spelling of 4891135568 in words is "four billion, eight hundred ninety-one million, one hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1487 1699 1936 2974 3398 5948 6796 11896 13592 16357 18689 23792 27184 32714 37378 65428 74756 130856 149512 179927 205579 261712 299024 359854 411158 719708 822316 1439416 1644632 2526413 2878832 3289264 5052826 10105652 20211304 27790543 40422608 55581086 111162172 222324344 305695973 444648688 611391946 1222783892 2445567784 4891135568