Search a number
-
+
11214498880 = 265132695793
BaseRepresentation
bin10100111000110111…
…11010110001000000
31001221120001120101101
422130123322301000
5140431402431010
65052445344144
7544622445004
oct123433726100
931846046341
1011214498880
114835323aa2
12220b868054
1310994ba170
14785588704
1545980e73a
hex29c6fac40

11214498880 has 56 divisors (see below), whose sum is σ = 28758730392. Its totient is φ = 4140736512.

The previous prime is 11214498871. The next prime is 11214498881. The reversal of 11214498880 is 8889441211.

It can be written as a sum of positive squares in 4 ways, for example, as 524593216 + 10689905664 = 22904^2 + 103392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11214498880.

It is not an unprimeable number, because it can be changed into a prime (11214498881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1343737 + ... + 1352056.

It is an arithmetic number, because the mean of its divisors is an integer number (513548757).

Almost surely, 211214498880 is an apocalyptic number.

11214498880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11214498880 is an abundant number, since it is smaller than the sum of its proper divisors (17544231512).

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

11214498880 is a wasteful number, since it uses less digits than its factorization.

11214498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695823 (or 2695813 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 11214498880 in words is "eleven billion, two hundred fourteen million, four hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 2695793 5391586 10783172 13478965 21566344 26957930 35045309 43132688 53915860 70090618 86265376 107831720 140181236 172530752 175226545 215663440 280362472 350453090 431326880 560724944 700906180 862653760 1121449888 1401812360 2242899776 2803624720 5607249440 11214498880