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11931068160 = 283251194153
BaseRepresentation
bin10110001110010010…
…11010011100000000
31010210111102001122100
423013021122130000
5143413323140120
65251524110400
7601443256164
oct130711323400
933714361570
1011931068160
115072860110
12238b835400
131181aab25b
148127d6ca4
1549c6a6490
hex2c725a700

11931068160 has 216 divisors, whose sum is σ = 45033481584. Its totient is φ = 2892349440.

The previous prime is 11931068159. The next prime is 11931068161. The reversal of 11931068160 is 6186013911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11931068159) and next prime (11931068161).

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 (11931068161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79644 + ... + 173796.

Almost surely, 211931068160 is an apocalyptic number.

11931068160 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 11931068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516740792).

11931068160 is an abundant number, since it is smaller than the sum of its proper divisors (33102413424).

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

11931068160 is a wasteful number, since it uses less digits than its factorization.

11931068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94191 (or 94174 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11931068160 in words is "eleven billion, nine hundred thirty-one million, sixty-eight thousand, one hundred sixty".