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1066165385844 = 22313171931367601
BaseRepresentation
bin11111000001111000110…
…10001011101001110100
310202220221220021021122010
433200330122023221310
5114432001314321334
62133442320204220
7140012400152406
oct17407432135164
93686856237563
101066165385844
11381181624659
12152768769670
1379701149820
1439861a7ab76
151cb003c00e9
hexf83c68ba74

1066165385844 has 192 divisors, whose sum is σ = 2995558191360. Its totient is φ = 291564748800.

The previous prime is 1066165385833. The next prime is 1066165385849. The reversal of 1066165385844 is 4485835616601.

It is a happy number.

It is a super-2 number, since 2×10661653858442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066165385849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15737644 + ... + 15805244.

It is an arithmetic number, because the mean of its divisors is an integer number (15601865580).

Almost surely, 21066165385844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066165385844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497779095680).

1066165385844 is an abundant number, since it is smaller than the sum of its proper divisors (1929392805516).

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

1066165385844 is a wasteful number, since it uses less digits than its factorization.

1066165385844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67970 (or 67968 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 1066165385844 in words is "one trillion, sixty-six billion, one hundred sixty-five million, three hundred eighty-five thousand, eight hundred forty-four".