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1082044352466 = 2337111493075689
BaseRepresentation
bin11111011111011101101…
…11101000011111010010
310211102221112100100212000
433233232313220133102
5120212011323234331
62145030113414430
7141114032145630
oct17575667503722
93742845310760
101082044352466
1138798a912270
1215585a56a416
137b061b0666c
143a52a904350
151d22e4590e6
hexfbeede87d2

1082044352466 has 256 divisors, whose sum is σ = 3028354560000. Its totient is φ = 278205995520.

The previous prime is 1082044352437. The next prime is 1082044352471. The reversal of 1082044352466 is 6642534402801.

1082044352466 is a `hidden beast` number, since 1 + 0 + 8 + 20 + 4 + 43 + 524 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190196550 + ... + 190202238.

It is an arithmetic number, because the mean of its divisors is an integer number (11829510000).

Almost surely, 21082044352466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082044352466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514177280000).

1082044352466 is an abundant number, since it is smaller than the sum of its proper divisors (1946310207534).

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

1082044352466 is a wasteful number, since it uses less digits than its factorization.

1082044352466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1082044352466 in words is "one trillion, eighty-two billion, forty-four million, three hundred fifty-two thousand, four hundred sixty-six".