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1398720706560 = 21132528154011
BaseRepresentation
bin10100010110101010010…
…000000011100000000000
311221201100020202221210100
4110112222100003200000
5140404040000102220
62550321411002400
7203024413560402
oct24265220034000
94851306687710
101398720706560
1149a215413191
121a70b8899400
13a1b8b86bac8
144b9ac758b72
15265b5baed90
hex145aa403800

1398720706560 has 288 divisors, whose sum is σ = 4865056363440. Its totient is φ = 371657932800.

The previous prime is 1398720706541. The next prime is 1398720706573. The reversal of 1398720706560 is 656070278931.

1398720706560 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 7 + 2 + 0 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13987207065602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1398720706497 and 1398720706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25869955 + ... + 25923965.

Almost surely, 21398720706560 is an apocalyptic number.

1398720706560 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 1398720706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432528181720).

1398720706560 is an abundant number, since it is smaller than the sum of its proper divisors (3466335656880).

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

1398720706560 is a wasteful number, since it uses less digits than its factorization.

1398720706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54325 (or 54302 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1398720706560 in words is "one trillion, three hundred ninety-eight billion, seven hundred twenty million, seven hundred six thousand, five hundred sixty".