Search a number
-
+
128417589316 = 2223327692
BaseRepresentation
bin111011110011001001…
…0001110100001000100
3110021110122100110020201
41313212102032201010
54100444400324231
6134554430340244
712164210333062
oct1674622164104
9407418313221
10128417589316
114a509421605
1220a7a95a684
13c1570b9b53
146303273032
153518e8b161
hex1de648e844

128417589316 has 27 divisors (see below), whose sum is σ = 225993309591. Its totient is φ = 63850082304.

The previous prime is 128417589269. The next prime is 128417589317. The reversal of 128417589316 is 613985714821.

The square root of 128417589316 is 358354.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22078988100 + 106338601216 = 148590^2 + 326096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128417589317) by changing a digit.

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, 166992580 + ... + 166993348.

Almost surely, 2128417589316 is an apocalyptic number.

128417589316 is the 358354-th square number.

It is an amenable number.

128417589316 is a deficient number, since it is larger than the sum of its proper divisors (97575720275).

128417589316 is an frugal number, since it uses more digits than its factorization.

128417589316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1004 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 55.

The spelling of 128417589316 in words is "one hundred twenty-eight billion, four hundred seventeen million, five hundred eighty-nine thousand, three hundred sixteen".

Divisors: 1 2 4 233 466 769 932 1538 3076 54289 108578 179177 217156 358354 591361 716708 1182722 2365444 41748241 83496482 137787113 166992964 275574226 551148452 32104397329 64208794658 128417589316