Search a number
-
+
1066364345016 = 233214810615903
BaseRepresentation
bin11111000010010000100…
…01001001101010111000
310202221110202122110022100
433201020101021222320
5114432403233020031
62133514144423400
7140020334243325
oct17411021115270
93687422573270
101066364345016
11381273966623
12152803317b60
137973342b149
143988026bb4c
151cb12ac0de6
hexf848449ab8

1066364345016 has 24 divisors (see below), whose sum is σ = 2888070101280. Its totient is φ = 355454781648.

The previous prime is 1066364345003. The next prime is 1066364345027. The reversal of 1066364345016 is 6105434636601.

1066364345016 is a `hidden beast` number, since 1 + 0 + 6 + 636 + 4 + 3 + 4 + 5 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10663643450162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7405307880 + ... + 7405308023.

It is an arithmetic number, because the mean of its divisors is an integer number (120336254220).

Almost surely, 21066364345016 is an apocalyptic number.

It is an amenable number.

1066364345016 is an abundant number, since it is smaller than the sum of its proper divisors (1821705756264).

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

1066364345016 is a wasteful number, since it uses less digits than its factorization.

1066364345016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810615915 (or 14810615908 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1066364345016 in words is "one trillion, sixty-six billion, three hundred sixty-four million, three hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14810615903 29621231806 44431847709 59242463612 88863695418 118484927224 133295543127 177727390836 266591086254 355454781672 533182172508 1066364345016