Search a number
-
+
492246025680 = 243537385314387
BaseRepresentation
bin1110010100111000010…
…01100100010111010000
31202001120110202000010110
413022130021210113100
531031104440310210
61014045032401320
750364213116253
oct7123411442720
91661513660113
10492246025680
1117a840059862
127b498246240
13375598883a6
1419b794bd09a
15cc10034420
hex729c2645d0

492246025680 has 160 divisors (see below), whose sum is σ = 1567720623744. Its totient is φ = 127675865088.

The previous prime is 492246025679. The next prime is 492246025969. The reversal of 492246025680 is 86520642294.

It is a super-2 number, since 2×4922460256802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34207447 + ... + 34221833.

Almost surely, 2492246025680 is an apocalyptic number.

492246025680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492246025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783860311872).

492246025680 is an abundant number, since it is smaller than the sum of its proper divisors (1075474598064).

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

492246025680 is a wasteful number, since it uses less digits than its factorization.

492246025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 492246025680 in words is "four hundred ninety-two billion, two hundred forty-six million, twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 3853 4440 7706 8880 11559 14387 15412 19265 23118 28774 30824 38530 43161 46236 57548 57795 61648 71935 77060 86322 92472 115096 115590 142561 143870 154120 172644 184944 215805 230192 231180 285122 287740 308240 345288 427683 431610 462360 532319 570244 575480 690576 712805 855366 863220 924720 1064638 1140488 1150960 1425610 1596957 1710732 1726440 2129276 2138415 2280976 2661595 2851220 3193914 3421464 3452880 4258552 4276830 5323190 5702440 6387828 6842928 7984785 8517104 8553660 10646380 11404880 12775656 15969570 17107320 21292760 25551312 31939140 34214640 42585520 55433111 63878280 110866222 127756560 166299333 221732444 277165555 332598666 443464888 554331110 665197332 831496665 886929776 1108662220 1330394664 1662993330 2051025107 2217324440 2660789328 3325986660 4102050214 4434648880 6153075321 6651973320 8204100428 10255125535 12306150642 13303946640 16408200856 20510251070 24612301284 30765376605 32816401712 41020502140 49224602568 61530753210 82041004280 98449205136 123061506420 164082008560 246123012840 492246025680