Search a number
-
+
66807311933476 = 221069238232
BaseRepresentation
bin11110011000010110010100…
…00110001010000000100100
322202112201100102202111221001
433030023022012022000210
532224032333323332401
6354030504434003044
720033445316602142
oct1714131206120044
9282481312674831
1066807311933476
111a317904a18084
1275ab855716484
132b37b969a92ba
14126d6c3a06592
157acc28c11601
hex3cc2ca18a024

66807311933476 has 27 divisors (see below), whose sum is σ = 117052882766001. Its totient is φ = 33363679016304.

The previous prime is 66807311933431. The next prime is 66807311933507. The reversal of 66807311933476 is 67433911370866.

The square root of 66807311933476 is 8173574.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31239447279076 + 35567864654400 = 5589226^2 + 5963880^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 17475099301 + ... + 17475103123.

Almost surely, 266807311933476 is an apocalyptic number.

66807311933476 is the 8173574-th square number.

It is an amenable number.

66807311933476 is a deficient number, since it is larger than the sum of its proper divisors (50245570832525).

66807311933476 is an frugal number, since it uses more digits than its factorization.

66807311933476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 66807311933476 in words is "sixty-six trillion, eight hundred seven billion, three hundred eleven million, nine hundred thirty-three thousand, four hundred seventy-six".

Divisors: 1 2 4 1069 2138 3823 4276 7646 15292 1142761 2285522 4086787 4571044 8173574 14615329 16347148 29230658 58461316 4368775303 8737550606 15623786701 17475101212 31247573402 62495146804 16701827983369 33403655966738 66807311933476