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11004444432 = 2433113225427
BaseRepresentation
bin10100011111110101…
…00111111100010000
31001101220210200212000
422033322213330100
5140014114210212
65015543234000
7536462143242
oct121772477420
931356720760
1011004444432
1147377a3a83
122171448900
131064b225a7
1476570a092
1544616b1dc
hex28fea7f10

11004444432 has 80 divisors (see below), whose sum is σ = 31866502080. Its totient is φ = 3635670528.

The previous prime is 11004444421. The next prime is 11004444439. The reversal of 11004444432 is 23444440011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11004444396 and 11004444405.

It is not an unprimeable number, because it can be changed into a prime (11004444439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63898 + ... + 161529.

It is an arithmetic number, because the mean of its divisors is an integer number (398331276).

Almost surely, 211004444432 is an apocalyptic number.

11004444432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11004444432 is an abundant number, since it is smaller than the sum of its proper divisors (20862057648).

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

11004444432 is a wasteful number, since it uses less digits than its factorization.

11004444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225557 (or 225545 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11004444432 its reverse (23444440011), we get a palindrome (34448884443).

The spelling of 11004444432 in words is "eleven billion, four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 225427 450854 676281 901708 1352562 1803416 2028843 2705124 3606832 4057686 5410248 6086529 8115372 10820496 12173058 16230744 24346116 25473251 32461488 48692232 50946502 76419753 97384464 101893004 152839506 203786008 229259259 305679012 407572016 458518518 611358024 687777777 917037036 1222716048 1375555554 1834074072 2751111108 3668148144 5502222216 11004444432