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1080984131584 = 211741101131139
BaseRepresentation
bin11111011101011111010…
…11001101100000000000
310211100012122100120012221
433232233223031200000
5120202323414202314
62144333001300424
7141045536340640
oct17565753154000
93740178316187
101080984131584
113874963a7665
12155603494714
137ac23272b26
143a469b9c520
151d1bb32e824
hexfbafacd800

1080984131584 has 384 divisors, whose sum is σ = 2593554163200. Its totient is φ = 440893440000.

The previous prime is 1080984131509. The next prime is 1080984131609. The reversal of 1080984131584 is 4851314890801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7776864187 + ... + 7776864325.

It is an arithmetic number, because the mean of its divisors is an integer number (6754047300).

Almost surely, 21080984131584 is an apocalyptic number.

1080984131584 is a gapful number since it is divisible by the number (14) 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 1080984131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296777081600).

1080984131584 is an abundant number, since it is smaller than the sum of its proper divisors (1512570031616).

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

1080984131584 is a wasteful number, since it uses less digits than its factorization.

1080984131584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 1080984131584 in words is "one trillion, eighty billion, nine hundred eighty-four million, one hundred thirty-one thousand, five hundred eighty-four".