Search a number
-
+
132566713471300 = 22521777980419689
BaseRepresentation
bin11110001001000110010111…
…110111011001000101000100
3122101101020212012020100000211
4132021012113313121011010
5114333433112122040200
61145540150223245204
736631425512221423
oct3611062767310504
9571336765210024
10132566713471300
1139270255824959
1212a50398149804
1358c7cab538214
1424a43981b72ba
15104d56eec8aba
hex789197dd9144

132566713471300 has 36 divisors (see below), whose sum is σ = 304591519309140. Its totient is φ = 49907468600320.

The previous prime is 132566713471219. The next prime is 132566713471337. The reversal of 132566713471300 is 3174317665231.

It can be written as a sum of positive squares in 6 ways, for example, as 2906724927744 + 129659988543556 = 1704912^2 + 11386834^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38990208145 + ... + 38990211544.

It is an arithmetic number, because the mean of its divisors is an integer number (8460875536365).

Almost surely, 2132566713471300 is an apocalyptic number.

132566713471300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132566713471300 is an abundant number, since it is smaller than the sum of its proper divisors (172024805837840).

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

132566713471300 is a wasteful number, since it uses less digits than its factorization.

132566713471300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77980419720 (or 77980419713 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 132566713471300 in words is "one hundred thirty-two trillion, five hundred sixty-six billion, seven hundred thirteen million, four hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 77980419689 155960839378 311921678756 389902098445 779804196890 1325667134713 1559608393780 1949510492225 2651334269426 3899020984450 5302668538852 6628335673565 7798041968900 13256671347130 26513342694260 33141678367825 66283356735650 132566713471300