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1082666250000 = 24345717237
BaseRepresentation
bin11111100000100111110…
…11111110111100010000
310211111112212120000220000
433300103323332330100
5120214300030000000
62145211531050000
7141135323166156
oct17602373767420
93744485500800
101082666250000
11388179967075
121559b28a0900
137b1308cb27a
143a58934b3d6
151d268d50000
hexfc13efef10

1082666250000 has 1200 divisors, whose sum is σ = 4273345114896. Its totient is φ = 264384000000.

The previous prime is 1082666249947. The next prime is 1082666250013. The reversal of 1082666250000 is 526662801.

It can be written as a sum of positive squares in 24 ways, for example, as 569849853456 + 512816396544 = 754884^2 + 716112^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29261249982 + ... + 29261250018.

Almost surely, 21082666250000 is an apocalyptic number.

1082666250000 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 1082666250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136672557448).

1082666250000 is an abundant number, since it is smaller than the sum of its proper divisors (3190678864896).

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

1082666250000 is an frugal number, since it uses more digits than its factorization.

1082666250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1082666250000 in words is "one trillion, eighty-two billion, six hundred sixty-six million, two hundred fifty thousand".