Search a number
-
+
11245168860 = 2235712639711
BaseRepresentation
bin10100111100100001…
…11010100011011100
31002000200202202200120
422132100322203130
5141012230400420
65055502554540
7545444233602
oct123620724334
932020682616
1011245168860
114850671892
122219b98a50
1310a2968093
1478968d872
1545c36bd40
hex29e43a8dc

11245168860 has 48 divisors (see below), whose sum is σ = 31929956352. Its totient is φ = 2956475200.

The previous prime is 11245168859. The next prime is 11245168861. The reversal of 11245168860 is 6886154211.

11245168860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11245168859) and next prime (11245168861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245168861) 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 15 ways as a sum of consecutive naturals, for example, 1315596 + ... + 1324115.

It is an arithmetic number, because the mean of its divisors is an integer number (665207424).

Almost surely, 211245168860 is an apocalyptic number.

11245168860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11245168860 is an abundant number, since it is smaller than the sum of its proper divisors (20684787492).

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

11245168860 is a wasteful number, since it uses less digits than its factorization.

11245168860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639794 (or 2639792 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 11245168860 in words is "eleven billion, two hundred forty-five million, one hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 2639711 5279422 7919133 10558844 13198555 15838266 26397110 31676532 39595665 52794220 79191330 158382660 187419481 374838962 562258443 749677924 937097405 1124516886 1874194810 2249033772 2811292215 3748389620 5622584430 11245168860