Search a number
-
+
66404663621664 = 2534259591623901
BaseRepresentation
bin11110001100101000010100…
…11000101111100000100000
322201010020001011220222002120
433012110022120233200200
532200433222341343124
6353121514211144240
716662402316453344
oct1706241230574040
9281106034828076
1066404663621664
111a1820724a2935
1275458035a5080
132b08c187b1164
141258007c27624
157a250ea92d79
hex3c650a62f820

66404663621664 has 48 divisors (see below), whose sum is σ = 174312758571840. Its totient is φ = 22134822278400.

The previous prime is 66404663621629. The next prime is 66404663621669. The reversal of 66404663621664 is 46612636640466.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 66404663621598 and 66404663621607.

It is not an unprimeable number, because it can be changed into a prime (66404663621669) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40080114 + ... + 41704014.

It is an arithmetic number, because the mean of its divisors is an integer number (3631515803580).

Almost surely, 266404663621664 is an apocalyptic number.

It is an amenable number.

66404663621664 is an abundant number, since it is smaller than the sum of its proper divisors (107908094950176).

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

66404663621664 is a wasteful number, since it uses less digits than its factorization.

66404663621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049873 (or 2049865 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 60.

The spelling of 66404663621664 in words is "sixty-six trillion, four hundred four billion, six hundred sixty-three million, six hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 425959 851918 1277877 1623901 1703836 2555754 3247802 3407672 4871703 5111508 6495604 6815344 9743406 10223016 12991208 13630688 19486812 20446032 25982416 38973624 40892064 51964832 77947248 155894496 691715246059 1383430492118 2075145738177 2766860984236 4150291476354 5533721968472 8300582952708 11067443936944 16601165905416 22134887873888 33202331810832 66404663621664