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18927280085472 = 25381131264371
BaseRepresentation
bin1000100110110110110011…
…10011100101100111100000
32111000102121200200200000000
410103123121303211213200
54440101032200213342
6104131023351300000
73662310434135133
oct423333163454740
974012550620000
1018927280085472
1160380181a2030
12215829797a600
13a73ab1233895
14496129ca421a
1522c51e34344c
hex1136d9ce59e0

18927280085472 has 432 divisors, whose sum is σ = 62939959939584. Its totient is φ = 5550501024000.

The previous prime is 18927280085471. The next prime is 18927280085491. The reversal of 18927280085472 is 27458008272981.

18927280085472 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 7 + 2 + 80 + 0 + 8 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18927280085471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71461447 + ... + 71725817.

It is an arithmetic number, because the mean of its divisors is an integer number (145694351712).

Almost surely, 218927280085472 is an apocalyptic number.

18927280085472 is a gapful number since it is divisible by the number (12) 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 18927280085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31469979969792).

18927280085472 is an abundant number, since it is smaller than the sum of its proper divisors (44012679854112).

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

18927280085472 is an equidigital number, since it uses as much as digits as its factorization.

18927280085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264447 (or 264418 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 18927280085472 in words is "eighteen trillion, nine hundred twenty-seven billion, two hundred eighty million, eighty-five thousand, four hundred seventy-two".