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11803554048 = 2831113313467
BaseRepresentation
bin10101111111000101…
…11111000100000000
31010110121110200011110
422333202333010000
5143133202212143
65231131043320
7565334361006
oct127742770400
933417420143
1011803554048
115007886950
122354ba0540
131161553110
147dd8c2a76
154913b9533
hex2bf8bf100

11803554048 has 288 divisors, whose sum is σ = 38108270592. Its totient is φ = 3194265600.

The previous prime is 11803554047. The next prime is 11803554131. The reversal of 11803554048 is 84045530811.

11803554048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11803553997 and 11803554015.

It is not an unprimeable number, because it can be changed into a prime (11803554043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3402811 + ... + 3406277.

It is an arithmetic number, because the mean of its divisors is an integer number (132320384).

Almost surely, 211803554048 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 11803554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054135296).

11803554048 is an abundant number, since it is smaller than the sum of its proper divisors (26304716544).

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

11803554048 is a wasteful number, since it uses less digits than its factorization.

11803554048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 11803554048 in words is "eleven billion, eight hundred three million, five hundred fifty-four thousand, forty-eight".