Search a number
-
+
165042643016420 = 225131017618258797
BaseRepresentation
bin100101100001101011111100…
…000111000001101011100100
3210122100220220120011212002122
4211201223330013001223210
5133113024313103011140
61343003313221325112
746522636356535151
oct4541537407015344
9718326816155078
10165042643016420
114865121236a174
1216616453266798
1371125ba592690
142ca816c4db228
151413210606ab5
hex961afc1c1ae4

165042643016420 has 96 divisors (see below), whose sum is σ = 377441207662176. Its totient is φ = 60256175616000.

The previous prime is 165042643016389. The next prime is 165042643016431. The reversal of 165042643016420 is 24610346240561.

It can be written as a sum of positive squares in 16 ways, for example, as 114855846594724 + 50186796421696 = 10717082^2 + 7084264^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15854462 + ... + 24113258.

It is an arithmetic number, because the mean of its divisors is an integer number (3931679246481).

Almost surely, 2165042643016420 is an apocalyptic number.

165042643016420 is a gapful number since it is divisible by the number (10) 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 165042643016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188720603831088).

165042643016420 is an abundant number, since it is smaller than the sum of its proper divisors (212398564645756).

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

165042643016420 is a wasteful number, since it uses less digits than its factorization.

165042643016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259681 (or 8259679 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

Adding to 165042643016420 its reverse (24610346240561), we get a palindrome (189652989256981).

The spelling of 165042643016420 in words is "one hundred sixty-five trillion, forty-two billion, six hundred forty-three million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 761 1010 1313 1522 2020 2626 3044 3805 5252 6565 7610 9893 13130 15220 19786 26260 39572 49465 76861 98930 153722 197860 307444 384305 768610 999193 1537220 1998386 3996772 4995965 8258797 9991930 16517594 19983860 33035188 41293985 82587970 107364361 165175940 214728722 429457444 536821805 834138497 1073643610 1668276994 2147287220 3336553988 4170692485 6284944517 8341384970 10843800461 12569889034 16682769940 21687600922 25139778068 31424722585 43375201844 54219002305 62849445170 81704278721 108438004610 125698890340 163408557442 216876009220 326817114884 408521393605 634779396217 817042787210 1269558792434 1634085574420 2539117584868 3173896981085 6347793962170 8252132150821 12695587924340 16504264301642 33008528603284 41260660754105 82521321508210 165042643016420