Search a number
-
+
172105576530 = 235591515871097
BaseRepresentation
bin1010000001001001001…
…0101011000001010010
3121110020100000011010020
42200102102223001102
510304433011422110
6211021511444310
715301636156146
oct2402222530122
9543210004106
10172105576530
1166a98124a68
1229431986696
13132ca248264
148489575226
154724614d70
hex28124ab052

172105576530 has 128 divisors (see below), whose sum is σ = 423942543360. Its totient is φ = 44701017600.

The previous prime is 172105576483. The next prime is 172105576571. The reversal of 172105576530 is 35675501271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156886942 + ... + 156888038.

It is an arithmetic number, because the mean of its divisors is an integer number (3312051120).

Almost surely, 2172105576530 is an apocalyptic number.

172105576530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172105576530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211971271680).

172105576530 is an abundant number, since it is smaller than the sum of its proper divisors (251836966830).

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

172105576530 is a wasteful number, since it uses less digits than its factorization.

172105576530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904.

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 172105576530 in words is "one hundred seventy-two billion, one hundred five million, five hundred seventy-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 151 177 295 302 354 453 587 590 755 885 906 1097 1174 1510 1761 1770 2194 2265 2935 3291 3522 4530 5485 5870 6582 8805 8909 10970 16455 17610 17818 26727 32910 34633 44545 53454 64723 69266 88637 89090 103899 129446 133635 165647 173165 177274 194169 207798 265911 267270 323615 331294 346330 388338 443185 496941 519495 531822 643939 647230 828235 886370 970845 993882 1038990 1287878 1329555 1656470 1931817 1941690 2484705 2659110 3219695 3863634 4969410 5229583 6439390 9659085 9773173 10459166 15688749 19318170 19546346 26147915 29319519 31377498 37992401 48865865 52295830 58639038 75984802 78443745 97234789 97731730 113977203 146597595 156887490 189962005 194469578 227954406 291704367 293195190 379924010 486173945 569886015 583408734 972347890 1139772030 1458521835 2917043670 5736852551 11473705102 17210557653 28684262755 34421115306 57368525510 86052788265 172105576530