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2468327137920 = 27325761218431
BaseRepresentation
bin100011111010110011110…
…000110010001010000000
322201222011221222110110200
4203322303300302022000
5310420113221403140
65125533412525200
7343221306331560
oct43726360621200
98658157873420
102468327137920
118718a2358206
1233a465920800
1314b9ba882b27
1487679408da0
15443181e4030
hex23eb3c32280

2468327137920 has 192 divisors, whose sum is σ = 9741076899840. Its totient is φ = 564189050880.

The previous prime is 2468327137909. The next prime is 2468327137921. The reversal of 2468327137920 is 297317238642.

It is a happy number.

2468327137920 is a `hidden beast` number, since 2 + 468 + 3 + 27 + 137 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2468327137921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30568896 + ... + 30649535.

It is an arithmetic number, because the mean of its divisors is an integer number (50734775520).

Almost surely, 22468327137920 is an apocalyptic number.

2468327137920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468327137920 is an abundant number, since it is smaller than the sum of its proper divisors (7272749761920).

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

2468327137920 is a wasteful number, since it uses less digits than its factorization.

2468327137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61218463 (or 61218448 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2468327137920 in words is "two trillion, four hundred sixty-eight billion, three hundred twenty-seven million, one hundred thirty-seven thousand, nine hundred twenty".