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11044868208 = 2431138354617
BaseRepresentation
bin10100100100101001…
…10101000001110000
31001111201212102211220
422102110311001300
5140104441240313
65023545505040
7540462554643
oct122224650160
931451772756
1011044868208
1147585a3a60
122182aa2180
131070306c9a
1476ac2da5a
154499a3823
hex292535070

11044868208 has 80 divisors (see below), whose sum is σ = 31208288256. Its totient is φ = 3338129920.

The previous prime is 11044868179. The next prime is 11044868213. The reversal of 11044868208 is 80286844011.

It is a super-2 number, since 2×110448682082 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11044868208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174916 + ... + 229532.

Almost surely, 211044868208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044868208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604144128).

11044868208 is an abundant number, since it is smaller than the sum of its proper divisors (20163420048).

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

11044868208 is a wasteful number, since it uses less digits than its factorization.

11044868208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55022 (or 55016 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 11044868208 in words is "eleven billion, forty-four million, eight hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 383 528 766 1149 1532 2298 3064 4213 4596 6128 8426 9192 12639 16852 18384 25278 33704 50556 54617 67408 101112 109234 163851 202224 218468 327702 436936 600787 655404 873872 1201574 1310808 1802361 2403148 2621616 3604722 4806296 7209444 9612592 14418888 20918311 28837776 41836622 62754933 83673244 125509866 167346488 230101421 251019732 334692976 460202842 502039464 690304263 920405684 1004078928 1380608526 1840811368 2761217052 3681622736 5522434104 11044868208