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14052827712 = 263711286413
BaseRepresentation
bin11010001011001110…
…10010001001000000
31100021100212121120110
431011213102021000
5212240010441322
610242240511320
71005146031120
oct150547221100
940240777513
1014052827712
115a61500500
12288231b540
13142c547391
14974508c80
15573abac0c
hex3459d2240

14052827712 has 168 divisors, whose sum is σ = 46707803968. Its totient is φ = 3650042880.

The previous prime is 14052827693. The next prime is 14052827731. The reversal of 14052827712 is 21772825041.

It is an interprime number because it is at equal distance from previous prime (14052827693) and next prime (14052827731).

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

It is an unprimeable number.

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, 119418 + ... + 205830.

Almost surely, 214052827712 is an apocalyptic number.

14052827712 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 14052827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353901984).

14052827712 is an abundant number, since it is smaller than the sum of its proper divisors (32654976256).

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

14052827712 is a wasteful number, since it uses less digits than its factorization.

14052827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86457 (or 86436 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 14052827712 in words is "fourteen billion, fifty-two million, eight hundred twenty-seven thousand, seven hundred twelve".