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12302796480 = 2635131675903
BaseRepresentation
bin10110111010100110…
…11100011011000000
31011202101212211000220
423131103130123000
5200144003441410
65352443343040
7613606021212
oct133523343300
934671784026
1012302796480
1152436760a7
122474221a80
131210b01440
14849d1c5b2
154c0133070
hex2dd4dc6c0

12302796480 has 224 divisors, whose sum is σ = 42325161984. Its totient is φ = 3009736704.

The previous prime is 12302796461. The next prime is 12302796497. The reversal of 12302796480 is 8469720321.

12302796480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081209 + ... + 2087111.

It is an arithmetic number, because the mean of its divisors is an integer number (188951616).

Almost surely, 212302796480 is an apocalyptic number.

12302796480 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 12302796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162580992).

12302796480 is an abundant number, since it is smaller than the sum of its proper divisors (30022365504).

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

12302796480 is a wasteful number, since it uses less digits than its factorization.

12302796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12302796480 in words is "twelve billion, three hundred two million, seven hundred ninety-six thousand, four hundred eighty".