Search a number
-
+
11875516832 = 254114276343
BaseRepresentation
bin10110000111101011…
…00000000110100000
31010122121212202112202
423003311200012200
5143310113014312
65242221312332
7600200141024
oct130365400640
933577782482
1011875516832
115044468623
1223751056a8
13117342b14a
14809296384
154978819c2
hex2c3d601a0

11875516832 has 48 divisors (see below), whose sum is σ = 23970727872. Its totient is φ = 5787962880.

The previous prime is 11875516823. The next prime is 11875516841. The reversal of 11875516832 is 23861557811.

It is an interprime number because it is at equal distance from previous prime (11875516823) and next prime (11875516841).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1869053 + ... + 1875395.

It is an arithmetic number, because the mean of its divisors is an integer number (499390164).

Almost surely, 211875516832 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 11875516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985363936).

11875516832 is an abundant number, since it is smaller than the sum of its proper divisors (12095211040).

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

11875516832 is a wasteful number, since it uses less digits than its factorization.

11875516832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7813 counting only the distinct ones).

The product of its digits is 403200, while the sum is 47.

The spelling of 11875516832 in words is "eleven billion, eight hundred seventy-five million, five hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1427 2854 5708 6343 11416 12686 22832 25372 45664 50744 58507 101488 117014 202976 234028 260063 468056 520126 936112 1040252 1872224 2080504 4161008 8322016 9051461 18102922 36205844 72411688 144823376 289646752 371109901 742219802 1484439604 2968879208 5937758416 11875516832