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14749983360 = 27355717797
BaseRepresentation
bin11011011110010101…
…01110001010000000
31102001221200210100000
431233022232022000
5220201443431420
610435343200000
71031342534640
oct155712561200
942057623300
1014749983360
116289a878a2
122a378a6000
131510acbc08
149dcd42520
155b4dca690
hex36f2ae280

14749983360 has 768 divisors, whose sum is σ = 63996791040. Its totient is φ = 3169124352.

The previous prime is 14749983349. The next prime is 14749983379. The reversal of 14749983360 is 6338994741.

It is a happy number.

14749983360 is a `hidden beast` number, since 1 + 47 + 499 + 83 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14749983297 and 14749983306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506482 + ... + 18507278.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 214749983360 is an apocalyptic number.

14749983360 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 14749983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998395520).

14749983360 is an abundant number, since it is smaller than the sum of its proper divisors (49246807680).

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

14749983360 is an equidigital number, since it uses as much as digits as its factorization.

14749983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 14749983360 in words is "fourteen billion, seven hundred forty-nine million, nine hundred eighty-three thousand, three hundred sixty".