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1399366338048 = 293271724110589
BaseRepresentation
bin10100010111010000101…
…110111100011000000000
311221210000020122102200200
4110113100232330120000
5140411400240304143
62550505433045200
7203046413421060
oct24272056743000
94853006572620
101399366338048
1149a5168a8728
121a7258b56800
13a1c62553583
144ba303bd3a0
15266026e31d3
hex145d0bbc600

1399366338048 has 480 divisors, whose sum is σ = 4907867215680. Its totient is φ = 374703390720.

The previous prime is 1399366338011. The next prime is 1399366338067. The reversal of 1399366338048 is 8408336639931.

It is a super-2 number, since 2×13993663380482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 132147538 + ... + 132158126.

It is an arithmetic number, because the mean of its divisors is an integer number (10224723366).

Almost surely, 21399366338048 is an apocalyptic number.

1399366338048 is a gapful number since it is divisible by the number (18) 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 1399366338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453933607840).

1399366338048 is an abundant number, since it is smaller than the sum of its proper divisors (3508500877632).

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

1399366338048 is a wasteful number, since it uses less digits than its factorization.

1399366338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 1399366338048 in words is "one trillion, three hundred ninety-nine billion, three hundred sixty-six million, three hundred thirty-eight thousand, forty-eight".