Search a number
-
+
11223445567890 = 2352920176395891
BaseRepresentation
bin1010001101010010100101…
…1111000111100110010010
31110201221200012220121122010
42203110221133013212102
52432341104031133030
635511551341323350
72235603305156553
oct243245137074622
943657605817563
1011223445567890
1136379224792a6
121313219266556
1363549bc0990a
142ab3093ac32a
15146e331036b0
hexa35297c7992

11223445567890 has 64 divisors (see below), whose sum is σ = 27878925720960. Its totient is φ = 2888281589760.

The previous prime is 11223445567787. The next prime is 11223445567921. The reversal of 11223445567890 is 9876554432211.

It is a happy number.

11223445567890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11223445567890.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443156 + ... + 4952735.

It is an arithmetic number, because the mean of its divisors is an integer number (435608214390).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11223445567890 = 22446891135780, but 3⋅11223445567890 = 33670336703670 is not.

Almost surely, 211223445567890 is an apocalyptic number.

11223445567890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11223445567890 is an abundant number, since it is smaller than the sum of its proper divisors (16655480153070).

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

11223445567890 is a wasteful number, since it uses less digits than its factorization.

11223445567890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397947.

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 11223445567890 in words is "eleven trillion, two hundred twenty-three billion, four hundred forty-five million, five hundred sixty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 2017 4034 6051 10085 12102 20170 30255 58493 60510 116986 175479 292465 350958 584930 877395 1754790 6395891 12791782 19187673 31979455 38375346 63958910 95938365 185480839 191876730 370961678 556442517 927404195 1112885034 1854808390 2782212585 5564425170 12900512147 25801024294 38701536441 64502560735 77403072882 129005121470 193507682205 374114852263 387015364410 748229704526 1122344556789 1870574261315 2244689113578 3741148522630 5611722783945 11223445567890