Search a number
-
+
84648169797136 = 2411221129912
BaseRepresentation
bin10011001111110010110000…
…000101110111011000010000
3102002201021201111101000022221
4103033302300011313120100
542043333422432002021
6500010455442510424
723554425362365021
oct2317626005673020
9362637644330287
1084648169797136
1124a760a6093900
1295b1470965414
13383039912169a
1416c8dc97acc48
159bbd5e5d4241
hex4cfcb0177610

84648169797136 has 135 divisors (see below), whose sum is σ = 181312241990607. Its totient is φ = 38255446152000.

The previous prime is 84648169797119. The next prime is 84648169797203. The reversal of 84648169797136 is 63179796184648.

The square root of 84648169797136 is 9200444.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85416921601 + ... + 85416922591.

Almost surely, 284648169797136 is an apocalyptic number.

84648169797136 is the 9200444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84648169797136

84648169797136 is an abundant number, since it is smaller than the sum of its proper divisors (96664072193471).

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

84648169797136 is an frugal number, since it uses more digits than its factorization.

84648169797136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 1215 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 79.

The spelling of 84648169797136 in words is "eighty-four trillion, six hundred forty-eight billion, one hundred sixty-nine million, seven hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 211 242 422 484 844 968 991 1688 1936 1982 2321 3376 3964 4642 7928 9284 10901 15856 18568 21802 25531 37136 43604 44521 51062 87208 89042 102124 119911 174416 178084 204248 209101 239822 356168 408496 418202 479644 489731 712336 836404 959288 979462 982081 1672808 1918576 1958924 1964162 2300111 3345616 3917848 3928324 4600222 5387041 7835696 7856648 9200444 10774082 10802891 15713296 18400888 21548164 21605782 25301221 36801776 43096328 43211564 44120311 50602442 86192656 86423128 88240622 101204884 118831801 172846256 176481244 202409768 207219091 237663602 352962488 404819536 414438182 475327204 485323421 705924976 828876364 950654408 970646842 1657752728 1901308816 1941293684 2279410001 3315505456 3882587368 4558820002 5338557631 7765174736 9117640004 10677115262 18235280008 21354230524 25073510011 36470560016 42708461048 43723228201 50147020022 85416922096 87446456402 100294040044 174892912804 200588080088 349785825608 401176160176 480955510211 699571651216 961911020422 1923822040844 3847644081688 5290510612321 7695288163376 10581021224642 21162042449284 42324084898568 84648169797136