Search a number
-
+
171640347025 = 5274192892
BaseRepresentation
bin1001111111011010001…
…1111101100110010001
3121102000220121001012211
42133312203331212101
510303004412101100
6210503412152121
715254256610000
oct2376643754621
9542026531184
10171640347025
1166879557174
1229322008641
1313254a48624
148443870c37
1546e88691ba
hex27f68fd991

171640347025 has 135 divisors (see below), whose sum is σ = 265024796721. Its totient is φ = 110248871040.

The previous prime is 171640347023. The next prime is 171640347031. The reversal of 171640347025 is 520743046171.

The square root of 171640347025 is 414295.

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 35718354049 + 135921992976 = 188993^2 + 368676^2 .

It is not a de Polignac number, because 171640347025 - 21 = 171640347023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171640347023) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 1928543181 + ... + 1928543269.

Almost surely, 2171640347025 is an apocalyptic number.

171640347025 is the 414295-th square number.

171640347025 is the 207148-th centered octagonal number.

It is an amenable number.

171640347025 is a deficient number, since it is larger than the sum of its proper divisors (93384449696).

171640347025 is an frugal number, since it uses more digits than its factorization.

171640347025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 171640347025 in words is "one hundred seventy-one billion, six hundred forty million, three hundred forty-seven thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 89 95 133 175 245 343 361 445 475 623 665 931 1225 1691 1715 1805 2225 2401 2527 3115 3325 4361 4655 6517 7921 8455 8575 9025 11837 12005 12635 15575 17689 21805 23275 30527 32129 32585 39605 42275 45619 55447 59185 60025 63175 82859 88445 109025 123823 150499 152635 160645 162925 198025 213689 224903 228095 277235 295925 388129 414295 442225 580013 619115 752495 763175 803225 866761 1053493 1068445 1124515 1140475 1386175 1574321 1940645 2071475 2716903 2859481 2900065 3095575 3762475 4060091 4333805 5267465 5342225 5622575 7374451 7871605 9703225 11020247 13584515 14297405 14500325 19018321 20016367 20300455 21669025 26337325 36872255 39358025 51621157 55101235 67922575 71487025 77141729 95091605 100081835 101502275 140114569 184361275 258105785 275506175 361348099 385708645 475458025 500409175 700572845 980801983 1290528925 1806740495 1928543225 3502864225 4904009915 6865613881 9033702475 24520049575 34328069405 171640347025