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11774070000 = 2432547111699
BaseRepresentation
bin10101111011100101…
…00000110011110000
31010101112222201122200
422331302200303300
5143103130220000
65224155103200
7564525641460
oct127562406360
933345881580
1011774070000
114aa2179070
122347141b00
1311583cbc34
147d9a09ba0
1548d9e3500
hex2bdca0cf0

11774070000 has 600 divisors, whose sum is σ = 51366057600. Its totient is φ = 2445120000.

The previous prime is 11774069987. The next prime is 11774070017. The reversal of 11774070000 is 7047711.

11774070000 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 (600).

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 119 ways as a sum of consecutive naturals, for example, 6929151 + ... + 6930849.

It is an arithmetic number, because the mean of its divisors is an integer number (85610096).

Almost surely, 211774070000 is an apocalyptic number.

11774070000 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 11774070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683028800).

11774070000 is an abundant number, since it is smaller than the sum of its proper divisors (39591987600).

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

11774070000 is a wasteful number, since it uses less digits than its factorization.

11774070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 11774070000 in words is "eleven billion, seven hundred seventy-four million, seventy thousand".