Search a number
-
+
1001165001660 = 223255562027787
BaseRepresentation
bin11101001000110100001…
…01011001001110111100
310112201011220120122022200
432210122011121032330
5112400341220023120
62043532344311500
7132221542050225
oct16443205311674
93481156518280
101001165001660
113566565a798a
12142048172590
1373542757c35
143665706624c
151b098b8be90
hexe91a1593bc

1001165001660 has 36 divisors (see below), whose sum is σ = 3036867172248. Its totient is φ = 266977333728.

The previous prime is 1001165001659. The next prime is 1001165001689. The reversal of 1001165001660 is 661005611001.

1001165001660 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 650 + 0 + 1 + 6 + 6 + 0 = 666.

1001165001660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10011650016603 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781013714 + ... + 2781014073.

Almost surely, 21001165001660 is an apocalyptic number.

1001165001660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001165001660 is an abundant number, since it is smaller than the sum of its proper divisors (2035702170588).

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

1001165001660 is a wasteful number, since it uses less digits than its factorization.

1001165001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562027802 (or 5562027797 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1001165001660 in words is "one trillion, one billion, one hundred sixty-five million, one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5562027787 11124055574 16686083361 22248111148 27810138935 33372166722 50058250083 55620277870 66744333444 83430416805 100116500166 111240555740 166860833610 200233000332 250291250415 333721667220 500582500830 1001165001660