Search a number
-
+
172298588288 = 2719219312
BaseRepresentation
bin1010000001110111001…
…0111101000010000000
3121110201210012011110212
42200131302331002000
510310331414311123
6211053004413252
715306501556511
oct2403562750200
9543653164425
10172298588288
1167087074612
1229486547228
131332b2267b8
1484a7058a08
15473653d878
hex281dcbd080

172298588288 has 72 divisors (see below), whose sum is σ = 362455478415. Its totient is φ = 81572855040.

The previous prime is 172298588239. The next prime is 172298588291. The reversal of 172298588288 is 882885892271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 86149294144 + 86149294144 = 293512^2 + 293512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=293512.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89226683 + ... + 89228613.

Almost surely, 2172298588288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172298588288

172298588288 is an abundant number, since it is smaller than the sum of its proper divisors (190156890127).

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

172298588288 is an frugal number, since it uses more digits than its factorization.

172298588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 1952 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 68.

The spelling of 172298588288 in words is "one hundred seventy-two billion, two hundred ninety-eight million, five hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 1931 2432 2888 3862 5776 7724 11552 15448 23104 30896 36689 46208 61792 73378 123584 146756 247168 293512 587024 697091 1174048 1394182 2348096 2788364 3728761 4696192 5576728 7457522 11153456 14915044 22306912 29830088 44613824 59660176 70846459 89227648 119320352 141692918 238640704 283385836 477281408 566771672 1133543344 1346082721 2267086688 2692165442 4534173376 5384330884 9068346752 10768661768 21537323536 43074647072 86149294144 172298588288