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1327987410048 = 273213295036079
BaseRepresentation
bin10011010100110010001…
…101111100010010000000
311200221202201121012012200
4103110302031330102000
5133224204234110143
62454022522553200
7164641523511135
oct23246215742200
94627681535180
101327987410048
114722182aa642
12195458368800
13982c85277c0
14483bc5bc58c
15248260011d3
hex1353237c480

1327987410048 has 384 divisors, whose sum is σ = 4266452736000. Its totient is φ = 393672351744.

The previous prime is 1327987410037. The next prime is 1327987410083. The reversal of 1327987410048 is 8400147897231.

1327987410048 is a `hidden beast` number, since 132 + 7 + 98 + 7 + 410 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13279874100482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1327987409976 and 1327987410003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218451873 + ... + 218457951.

It is an arithmetic number, because the mean of its divisors is an integer number (11110554000).

Almost surely, 21327987410048 is an apocalyptic number.

1327987410048 is a gapful number since it is divisible by the number (18) 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 1327987410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133226368000).

1327987410048 is an abundant number, since it is smaller than the sum of its proper divisors (2938465325952).

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

1327987410048 is a wasteful number, since it uses less digits than its factorization.

1327987410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1327987410048 in words is "one trillion, three hundred twenty-seven billion, nine hundred eighty-seven million, four hundred ten thousand, forty-eight".