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1080414856096 = 25411249659317
BaseRepresentation
bin11111011100011011011…
…11100110001110100000
310211021201222011101001121
433232031233212032200
5120200142200343341
62144200303542024
7141025454515432
oct17561557461640
93737658141047
101080414856096
11387224024554
121554848ba914
137ab62343c24
143a414332652
151d1863804d1
hexfb8dbe63a0

1080414856096 has 48 divisors (see below), whose sum is σ = 2180694285000. Its totient is φ = 526608875520.

The previous prime is 1080414856069. The next prime is 1080414856109. The reversal of 1080414856096 is 6906584140801.

It can be written as a sum of positive squares in 4 ways, for example, as 253471971600 + 826942884496 = 503460^2 + 909364^2 .

It is a super-2 number, since 2×10804148560962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1309030 + ... + 1968346.

Almost surely, 21080414856096 is an apocalyptic number.

1080414856096 is a gapful number since it is divisible by the number (16) 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 1080414856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090347142500).

1080414856096 is an abundant number, since it is smaller than the sum of its proper divisors (1100279428904).

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

1080414856096 is a wasteful number, since it uses less digits than its factorization.

1080414856096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660617 (or 660609 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

Adding to 1080414856096 its reverse (6906584140801), we get a palindrome (7986998996897).

The spelling of 1080414856096 in words is "one trillion, eighty billion, four hundred fourteen million, eight hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1249 1312 2498 4996 9992 19984 39968 51209 102418 204836 409672 659317 819344 1318634 1638688 2637268 5274536 10549072 21098144 27031997 54063994 108127988 216255976 432511952 823486933 865023904 1646973866 3293947732 6587895464 13175790928 26351581856 33762964253 67525928506 135051857012 270103714024 540207428048 1080414856096