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11701254240 = 25325136110247
BaseRepresentation
bin10101110010111001…
…01111100001100000
31010012110222022012200
422321130233201200
5142431010113430
65213034253200
7562653006564
oct127134574140
933173868180
1011701254240
114a65064555
122326887200
1311462b58a0
147d00936a4
1548740d460
hex2b972f860

11701254240 has 288 divisors, whose sum is σ = 43711327296. Its totient is φ = 2832814080.

The previous prime is 11701254221. The next prime is 11701254247. The reversal of 11701254240 is 4245210711.

11701254240 is a `hidden beast` number, since 1 + 1 + 70 + 12 + 542 + 40 = 666.

11701254240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701254247) 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 47 ways as a sum of consecutive naturals, for example, 1136797 + ... + 1147043.

It is an arithmetic number, because the mean of its divisors is an integer number (151775442).

Almost surely, 211701254240 is an apocalyptic number.

11701254240 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 11701254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855663648).

11701254240 is an abundant number, since it is smaller than the sum of its proper divisors (32010073056).

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

11701254240 is a wasteful number, since it uses less digits than its factorization.

11701254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 11701254240 its reverse (4245210711), we get a palindrome (15946464951).

The spelling of 11701254240 in words is "eleven billion, seven hundred one million, two hundred fifty-four thousand, two hundred forty".