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11320473600 = 211335219431
BaseRepresentation
bin10101000101100000…
…01011100000000000
31002012221110122101000
422202300023200000
5141141020123400
65111153012000
7550350303132
oct124260134000
932187418330
1011320473600
11488a126407
12223b254000
1310b54432b7
14795693052
15463c94600
hex2a2c0b800

11320473600 has 576 divisors, whose sum is σ = 43872192000. Its totient is φ = 2853273600.

The previous prime is 11320473557. The next prime is 11320473607. The reversal of 11320473600 is 637402311.

11320473600 is a `hidden beast` number, since 1 + 13 + 2 + 0 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320473607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26265385 + ... + 26265815.

It is an arithmetic number, because the mean of its divisors is an integer number (76167000).

Almost surely, 211320473600 is an apocalyptic number.

11320473600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

11320473600 is an abundant number, since it is smaller than the sum of its proper divisors (32551718400).

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

11320473600 is a wasteful number, since it uses less digits than its factorization.

11320473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 11320473600 its reverse (637402311), we get a palindrome (11957875911).

The spelling of 11320473600 in words is "eleven billion, three hundred twenty million, four hundred seventy-three thousand, six hundred".