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14883348480 = 21335711313
BaseRepresentation
bin11011101110001110…
…11110000000000000
31102102020122102212220
431313013132000000
5220440114122410
610500505451040
71034552242350
oct156707360000
942366572786
1014883348480
116348298000
122a744a0a80
1315326252a0
14a1293ab60
155c1971070
hex3771de000

14883348480 has 896 divisors, whose sum is σ = 64470905856. Its totient is φ = 2854748160.

The previous prime is 14883348439. The next prime is 14883348481. The reversal of 14883348480 is 8484338841.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14883348481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144872954 + ... + 1144872966.

It is an arithmetic number, because the mean of its divisors is an integer number (71954136).

Almost surely, 214883348480 is an apocalyptic number.

14883348480 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 14883348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235452928).

14883348480 is an abundant number, since it is smaller than the sum of its proper divisors (49587557376).

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

14883348480 is an equidigital number, since it uses as much as digits as its factorization.

14883348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

It can be divided in two parts, 14883 and 348480, that added together give a palindrome (363363).

The spelling of 14883348480 in words is "fourteen billion, eight hundred eighty-three million, three hundred forty-eight thousand, four hundred eighty".