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11898744480 = 253457241457
BaseRepresentation
bin10110001010011100…
…00110111010100000
31010201020120211220000
423011032012322200
5143332034310410
65244411220000
7600601442100
oct130516067240
933636524800
1011898744480
115056592927
122380a47600
1311781a170c
1480c3c1200
1549991ddc0
hex2c5386ea0

11898744480 has 720 divisors, whose sum is σ = 50149521576. Its totient is φ = 2647572480.

The previous prime is 11898744463. The next prime is 11898744511. The reversal of 11898744480 is 8444789811.

11898744480 is a `hidden beast` number, since 1 + 1 + 8 + 98 + 74 + 4 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8740754064 + 3157990416 = 93492^2 + 56196^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26036412 + ... + 26036868.

Almost surely, 211898744480 is an apocalyptic number.

11898744480 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 11898744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25074760788).

11898744480 is an abundant number, since it is smaller than the sum of its proper divisors (38250777096).

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

11898744480 is a wasteful number, since it uses less digits than its factorization.

11898744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 11898744480 in words is "eleven billion, eight hundred ninety-eight million, seven hundred forty-four thousand, four hundred eighty".