Search a number
-
+
166561660672 = 281159148317
BaseRepresentation
bin1001101100011111011…
…0010011111100000000
3120220220222011001021021
42123013312103330000
510212104241120142
6204303430235224
715014360520151
oct2330766237400
9526828131237
10166561660672
1164702795a20
12283451b5b14
13129257c9584
1480c1169928
1544eca6d267
hex26c7d93f00

166561660672 has 36 divisors (see below), whose sum is σ = 362697485976. Its totient is φ = 75709844480.

The previous prime is 166561660669. The next prime is 166561660691. The reversal of 166561660672 is 276066165661.

166561660672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29571343 + ... + 29576974.

It is an arithmetic number, because the mean of its divisors is an integer number (10074930166).

Almost surely, 2166561660672 is an apocalyptic number.

It is an amenable number.

166561660672 is an abundant number, since it is smaller than the sum of its proper divisors (196135825304).

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

166561660672 is an equidigital number, since it uses as much as digits as its factorization.

166561660672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59148344 (or 59148330 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 166561660672 in words is "one hundred sixty-six billion, five hundred sixty-one million, six hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 59148317 118296634 236593268 473186536 650631487 946373072 1301262974 1892746144 2602525948 3785492288 5205051896 7570984576 10410103792 15141969152 20820207584 41640415168 83280830336 166561660672