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14507847480 = 23357219315971
BaseRepresentation
bin11011000001011110…
…00010111100111000
31101110002002000100110
431200233002330320
5214203002104410
610355333304320
71022342445300
oct154057027470
941402060313
1014507847480
1161753355a5
12298a7950a0
1314a28b0b49
149b8b12600
1559d9eb720
hex360bc2f38

14507847480 has 768 divisors, whose sum is σ = 56733696000. Its totient is φ = 2946585600.

The previous prime is 14507847467. The next prime is 14507847491. The reversal of 14507847480 is 8474870541.

14507847480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 204335845 + ... + 204335915.

It is an arithmetic number, because the mean of its divisors is an integer number (73872000).

Almost surely, 214507847480 is an apocalyptic number.

14507847480 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 14507847480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366848000).

14507847480 is an abundant number, since it is smaller than the sum of its proper divisors (42225848520).

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

14507847480 is a wasteful number, since it uses less digits than its factorization.

14507847480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 14507847480 in words is "fourteen billion, five hundred seven million, eight hundred forty-seven thousand, four hundred eighty".