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11552023753056 = 253240111193587
BaseRepresentation
bin1010100000011010101001…
…0001011011000101100000
31111220100210101201212110200
42220012222101123011200
53003232021040044211
640322532040225200
72301414626520303
oct250065221330540
944810711655420
1011552023753056
113754205280046
121366a3946b200
1365a474684657
142bd199ba8b3a
15150764687b56
hexa81aa45b160

11552023753056 has 36 divisors (see below), whose sum is σ = 32851067548572. Its totient is φ = 3850674584256.

The previous prime is 11552023753043. The next prime is 11552023753063. The reversal of 11552023753056 is 65035732025511.

11552023753056 is a `hidden beast` number, since 1 + 1 + 5 + 520 + 2 + 3 + 75 + 3 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 20055596506 + ... + 20055597081.

It is an arithmetic number, because the mean of its divisors is an integer number (912529654127).

Almost surely, 211552023753056 is an apocalyptic number.

11552023753056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11552023753056 is an abundant number, since it is smaller than the sum of its proper divisors (21299043795516).

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

11552023753056 is a wasteful number, since it uses less digits than its factorization.

11552023753056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40111193603 (or 40111193592 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

Adding to 11552023753056 its reverse (65035732025511), we get a palindrome (76587755778567).

The spelling of 11552023753056 in words is "eleven trillion, five hundred fifty-two billion, twenty-three million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40111193587 80222387174 120333580761 160444774348 240667161522 320889548696 361000742283 481334323044 641779097392 722001484566 962668646088 1283558194784 1444002969132 1925337292176 2888005938264 3850674584352 5776011876528 11552023753056