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13984310592 = 2632723150797
BaseRepresentation
bin11010000011000011…
…11010010101000000
31100002120221120202100
431001201322111000
5212114440414332
610231352150400
71003354451550
oct150141722500
940076846670
1013984310592
115a2686258a
122863398400
13141b2a77c5
14969391160
1556ca8467c
hex34187a540

13984310592 has 168 divisors, whose sum is σ = 47801759616. Its totient is φ = 3821773824.

The previous prime is 13984310579. The next prime is 13984310597. The reversal of 13984310592 is 29501348931.

It is a happy number.

13984310592 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 43 + 10 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13984310597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17338 + ... + 168134.

Almost surely, 213984310592 is an apocalyptic number.

13984310592 is a gapful number since it is divisible by the number (12) 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 13984310592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23900879808).

13984310592 is an abundant number, since it is smaller than the sum of its proper divisors (33817449024).

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

13984310592 is a wasteful number, since it uses less digits than its factorization.

13984310592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150845 (or 150832 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13984310592 in words is "thirteen billion, nine hundred eighty-four million, three hundred ten thousand, five hundred ninety-two".