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11200465044 = 22323173137483
BaseRepresentation
bin10100110111001100…
…11000100010010100
31001220120122120120200
422123212120202110
5140414304340134
65051224500500
7544362245016
oct123346304224
931816576520
1011200465044
11482840918a
12220701a730
131096615512
147837741b6
1545848b499
hex29b998894

11200465044 has 72 divisors (see below), whose sum is σ = 29626152192. Its totient is φ = 3563533440.

The previous prime is 11200465039. The next prime is 11200465061. The reversal of 11200465044 is 44056400211.

11200465044 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 4 + 650 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11200464999 and 11200465017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12727 + ... + 150209.

It is an arithmetic number, because the mean of its divisors is an integer number (411474336).

Almost surely, 211200465044 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 11200465044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813076096).

11200465044 is an abundant number, since it is smaller than the sum of its proper divisors (18425687148).

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

11200465044 is a wasteful number, since it uses less digits than its factorization.

11200465044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137597 (or 137592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11200465044 its reverse (44056400211), we get a palindrome (55256865255).

The spelling of 11200465044 in words is "eleven billion, two hundred million, four hundred sixty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 9052 13578 20367 27156 40734 81468 137483 274966 412449 549932 824898 1237347 1649796 2474694 4261973 4949388 8523946 10036259 12785919 17047892 20072518 25571838 30108777 38357757 40145036 51143676 60217554 76715514 90326331 120435108 153431028 180652662 311124029 361305324 622248058 933372087 1244496116 1866744174 2800116261 3733488348 5600232522 11200465044