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1363101449920 = 26576715160149
BaseRepresentation
bin10011110101011111001…
…011010111111011000000
311211022101212212020102221
4103311133023113323000
5134313112432344140
62522111122420424
7200323632103210
oct23653713277300
94738355766387
101363101449920
114860a7261501
121a0217b01714
139b7032695a2
1449d8dcd2240
15256cdaab14a
hex13d5f2d7ec0

1363101449920 has 224 divisors, whose sum is σ = 3789946598400. Its totient is φ = 457317273600.

The previous prime is 1363101449911. The next prime is 1363101449929. The reversal of 1363101449920 is 299441013631.

It is an interprime number because it is at equal distance from previous prime (1363101449911) and next prime (1363101449929).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1363101449929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22632006 + ... + 22692154.

Almost surely, 21363101449920 is an apocalyptic number.

1363101449920 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 1363101449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894973299200).

1363101449920 is an abundant number, since it is smaller than the sum of its proper divisors (2426845148480).

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

1363101449920 is a wasteful number, since it uses less digits than its factorization.

1363101449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60391 (or 60381 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 1363101449920 in words is "one trillion, three hundred sixty-three billion, one hundred one million, four hundred forty-nine thousand, nine hundred twenty".