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14392399680 = 2633519731201
BaseRepresentation
bin11010110011101101…
…01001011101000000
31101011000211122202000
431121312221131000
5213433423242210
610340051024000
71016441243631
oct153166513500
941130748660
1014392399680
11611615299a
122957b9b000
1314849bbc39
149a765d888
155937e4ac0
hex359da9740

14392399680 has 448 divisors, whose sum is σ = 54222700800. Its totient is φ = 3583180800.

The previous prime is 14392399663. The next prime is 14392399687. The reversal of 14392399680 is 8699329341.

14392399680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14392399687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11983080 + ... + 11984280.

Almost surely, 214392399680 is an apocalyptic number.

14392399680 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 14392399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27111350400).

14392399680 is an abundant number, since it is smaller than the sum of its proper divisors (39830301120).

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

14392399680 is a wasteful number, since it uses less digits than its factorization.

14392399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 14392399680 in words is "fourteen billion, three hundred ninety-two million, three hundred ninety-nine thousand, six hundred eighty".