Search a number
-
+
666067248001 = 17313451327737
BaseRepresentation
bin10011011000101001011…
…00111010001110000001
32100200020101000222211101
421230110230322032001
541403101203414001
61225553112414401
766056524123261
oct11542454721601
92320211028741
10666067248001
11237528662901
12a91086a7401
134aa6b39a46c
142434884d7a1
15124d508da01
hex9b14b3a381

666067248001 has 16 divisors (see below), whose sum is σ = 707683144464. Its totient is φ = 624723001344.

The previous prime is 666067247977. The next prime is 666067248023. The reversal of 666067248001 is 100842760666.

It can be written as a sum of positive squares in 8 ways, for example, as 86871667600 + 579195580401 = 294740^2 + 761049^2 .

It is a cyclic number.

It is not a de Polignac number, because 666067248001 - 25 = 666067247969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (666067248071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23999805 + ... + 24027541.

It is an arithmetic number, because the mean of its divisors is an integer number (44230196529).

Almost surely, 2666067248001 is an apocalyptic number.

It is an amenable number.

666067248001 is a deficient number, since it is larger than the sum of its proper divisors (41615896463).

666067248001 is a wasteful number, since it uses less digits than its factorization.

666067248001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32580.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 666067248001 in words is "six hundred sixty-six billion, sixty-seven million, two hundred forty-eight thousand, one".

Divisors: 1 17 313 4513 5321 27737 76721 471529 1412569 8681681 24013673 125177081 147588577 2128010377 39180426353 666067248001