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1066057252344 = 23327231973172
BaseRepresentation
bin11111000001101011111…
…01101011110111111000
310202220200100210112100200
433200311331223313320
5114431241124033334
62133423454402200
7140006615063400
oct17406575536770
93686610715320
101066057252344
11381126588327
12152738500360
13796b4918bc6
143985156d800
151cae5b60799
hexf835f6bdf8

1066057252344 has 432 divisors, whose sum is σ = 3513793308480. Its totient is φ = 290803322880.

The previous prime is 1066057252301. The next prime is 1066057252367. The reversal of 1066057252344 is 4432527506601.

1066057252344 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 57 + 252 + 344 = 666.

It is a super-2 number, since 2×10660572523442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066057252344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3362956474 + ... + 3362956790.

Almost surely, 21066057252344 is an apocalyptic number.

1066057252344 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 1066057252344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756896654240).

1066057252344 is an abundant number, since it is smaller than the sum of its proper divisors (2447736056136).

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

1066057252344 is a wasteful number, since it uses less digits than its factorization.

1066057252344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1066057252344 in words is "one trillion, sixty-six billion, fifty-seven million, two hundred fifty-two thousand, three hundred forty-four".