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1368201481920 = 263457132512311
BaseRepresentation
bin10011111010001111001…
…010011100111011000000
311211210120022110201010000
4103322033022130323000
5134404034034410140
62524313150040000
7200564210465160
oct23721712347300
94753508421100
101368201481920
11488284081a89
121a11bbaa9000
139c036a503c0
144a3153925a0
15258cb6c1a30
hex13e8f29cec0

1368201481920 has 1120 divisors, whose sum is σ = 6016538981376. Its totient is φ = 287400960000.

The previous prime is 1368201481903. The next prime is 1368201481939. The reversal of 1368201481920 is 291841028631.

1368201481920 is a `hidden beast` number, since 1 + 3 + 6 + 82 + 0 + 1 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 592037565 + ... + 592039875.

Almost surely, 21368201481920 is an apocalyptic number.

1368201481920 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 1368201481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008269490688).

1368201481920 is an abundant number, since it is smaller than the sum of its proper divisors (4648337499456).

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

1368201481920 is a wasteful number, since it uses less digits than its factorization.

1368201481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1368201481920 in words is "one trillion, three hundred sixty-eight billion, two hundred one million, four hundred eighty-one thousand, nine hundred twenty".