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11289820000 = 2554564491
BaseRepresentation
bin10101000001110110…
…01111101101100000
31002010210210021112111
422200323033231200
5141110143220000
65104140005104
7546525613054
oct124073175540
932123707474
1011289820000
114873899958
122230b30794
1310abc9c984
14791593c64
1546123bcba
hex2a0ecfb60

11289820000 has 60 divisors (see below), whose sum is σ = 27774699876. Its totient is φ = 4515920000.

The previous prime is 11289819991. The next prime is 11289820001. The reversal of 11289820000 is 2898211.

It is a happy number.

11289820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289820001) 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 9 ways as a sum of consecutive naturals, for example, 262246 + ... + 302245.

Almost surely, 211289820000 is an apocalyptic number.

11289820000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11289820000 is an abundant number, since it is smaller than the sum of its proper divisors (16484879876).

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

11289820000 is an frugal number, since it uses more digits than its factorization.

11289820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564521 (or 564498 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 11289820000 in words is "eleven billion, two hundred eighty-nine million, eight hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 564491 1128982 2257964 2822455 4515928 5644910 9031856 11289820 14112275 18063712 22579640 28224550 45159280 56449100 70561375 90318560 112898200 141122750 225796400 282245500 352806875 451592800 564491000 705613750 1128982000 1411227500 2257964000 2822455000 5644910000 11289820000