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12303149748480 = 283255217192851
BaseRepresentation
bin1011001100001000110011…
…0111101101000100000000
31121120011120122210221011200
42303002030313231010000
53103033322313422410
642055553341141200
72406605343242133
oct263021467550400
947504518727150
1012303149748480
113a13811321818
121468523b5a800
136b3249c44296
1430769318821a
15165076da33c0
hexb308cded100

12303149748480 has 432 divisors, whose sum is σ = 42723618013440. Its totient is φ = 3268841472000.

The previous prime is 12303149748467. The next prime is 12303149748503. The reversal of 12303149748480 is 8484794130321.

12303149748480 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 31 + 4 + 97 + 48 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4315379055 + ... + 4315381905.

It is an arithmetic number, because the mean of its divisors is an integer number (98897263920).

Almost surely, 212303149748480 is an apocalyptic number.

12303149748480 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 12303149748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361809006720).

12303149748480 is an abundant number, since it is smaller than the sum of its proper divisors (30420468264960).

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

12303149748480 is a wasteful number, since it uses less digits than its factorization.

12303149748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12303149748480 in words is "twelve trillion, three hundred three billion, one hundred forty-nine million, seven hundred forty-eight thousand, four hundred eighty".