Search a number
-
+
11803752448 = 21131892089
BaseRepresentation
bin10101111111000111…
…01111100000000000
31010110121211202022121
422333203233200000
5143133230034243
65231135214024
7565336145305
oct127743574000
933417752277
1011803752448
115007a01a14
122355077314
1311615c2507
147dd9350ac
154914081ed
hex2bf8ef800

11803752448 has 96 divisors (see below), whose sum is σ = 24648624000. Its totient is φ = 5644615680.

The previous prime is 11803752431. The next prime is 11803752503. The reversal of 11803752448 is 84425730811.

11803752448 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5649388 + ... + 5651476.

It is an arithmetic number, because the mean of its divisors is an integer number (256756500).

Almost surely, 211803752448 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 11803752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312000).

11803752448 is an abundant number, since it is smaller than the sum of its proper divisors (12844871552).

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

11803752448 is an equidigital number, since it uses as much as digits as its factorization.

11803752448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 11803752448 in words is "eleven billion, eight hundred three million, seven hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 128 178 248 256 356 496 512 712 992 1024 1424 1984 2048 2089 2759 2848 3968 4178 5518 5696 7936 8356 11036 11392 15872 16712 22072 22784 31744 33424 44144 45568 63488 64759 66848 88288 91136 129518 133696 176576 182272 185921 259036 267392 353152 371842 518072 534784 706304 743684 1036144 1069568 1412608 1487368 2072288 2139136 2825216 2974736 4144576 4278272 5650432 5763551 5949472 8289152 11527102 11898944 16578304 23054204 23797888 33156608 46108408 47595776 66313216 92216816 95191552 132626432 184433632 190383104 368867264 380766208 737734528 1475469056 2950938112 5901876224 11803752448