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1089895124640 = 2535717110317299
BaseRepresentation
bin11111101110000101100…
…11111100111010100000
310212012012122221220122210
433313002303330322200
5120324101122442030
62152405123002120
7141512421463350
oct17670263747240
93765178856583
101089895124640
11390249425633
1215728b809340
137ba1345b19a
143aa73444b60
151d53d7c8bb0
hexfdc2cfcea0

1089895124640 has 384 divisors, whose sum is σ = 4158430617600. Its totient is φ = 234238722048.

The previous prime is 1089895124639. The next prime is 1089895124663. The reversal of 1089895124640 is 464215989801.

It is a super-2 number, since 2×10898951246402 (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 63 ways as a sum of consecutive naturals, for example, 62994711 + ... + 63012009.

It is an arithmetic number, because the mean of its divisors is an integer number (10829246400).

Almost surely, 21089895124640 is an apocalyptic number.

1089895124640 is a gapful number since it is divisible by the number (10) 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 1089895124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079215308800).

1089895124640 is an abundant number, since it is smaller than the sum of its proper divisors (3068535492960).

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

1089895124640 is a wasteful number, since it uses less digits than its factorization.

1089895124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18444 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 1089895124640 in words is "one trillion, eighty-nine billion, eight hundred ninety-five million, one hundred twenty-four thousand, six hundred forty".