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11740671360 = 27355116863
BaseRepresentation
bin10101110111100110…
…00110110110000000
31010022020010220100000
422323303012312000
5143021102440420
65221003200000
7563642026365
oct127363066600
933266126300
1011740671360
114a85337190
122337b16000
131151507022
147d53d446c
1548aae7690
hex2bbcc6d80

11740671360 has 384 divisors, whose sum is σ = 45872386560. Its totient is φ = 2845808640.

The previous prime is 11740671331. The next prime is 11740671361. The reversal of 11740671360 is 6317604711.

11740671360 is a `hidden beast` number, since 117 + 406 + 7 + 136 + 0 = 666.

11740671360 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740671361) 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, 1707289 + ... + 1714151.

It is an arithmetic number, because the mean of its divisors is an integer number (119459340).

Almost surely, 211740671360 is an apocalyptic number.

11740671360 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 11740671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22936193280).

11740671360 is an abundant number, since it is smaller than the sum of its proper divisors (34131715200).

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

11740671360 is an equidigital number, since it uses as much as digits as its factorization.

11740671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11740671360 in words is "eleven billion, seven hundred forty million, six hundred seventy-one thousand, three hundred sixty".