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14482744920 = 2334573120599
BaseRepresentation
bin11010111110011110…
…10010011001011000
31101101022211200010000
431133033102121120
5214130040314140
610353035253000
71021616205060
oct153717223130
941338750100
1014482744920
11616214a686
1229822aa160
13149a632067
149b565a3a0
1559b6dda30
hex35f3d2658

14482744920 has 320 divisors, whose sum is σ = 57429504000. Its totient is φ = 3203400960.

The previous prime is 14482744879. The next prime is 14482744937. The reversal of 14482744920 is 2944728441.

14482744920 is a `hidden beast` number, since 14 + 4 + 82 + 74 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 692781 + ... + 713379.

It is an arithmetic number, because the mean of its divisors is an integer number (179467200).

Almost surely, 214482744920 is an apocalyptic number.

14482744920 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 14482744920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714752000).

14482744920 is an abundant number, since it is smaller than the sum of its proper divisors (42946759080).

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

14482744920 is a wasteful number, since it uses less digits than its factorization.

14482744920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14482744920 in words is "fourteen billion, four hundred eighty-two million, seven hundred forty-four thousand, nine hundred twenty".