Search a number
-
+
6480629221264 = 2411247212312
BaseRepresentation
bin101111001001110001110…
…0110100100011110010000
3211221112122012012202012021
41132103203212210132100
51322134312040040024
621441054315141224
71236132014326132
oct136234346443620
924845565182167
106480629221264
112079468278100
12887ba5744814
13380175290203
1418594251d052
15b38991e0de4
hex5e4e39a4790

6480629221264 has 135 divisors (see below), whose sum is σ = 14112824503323. Its totient is φ = 2880723172800.

The previous prime is 6480629221211. The next prime is 6480629221277. The reversal of 6480629221264 is 4621229260846.

It is a happy number.

The square root of 6480629221264 is 2545708.

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, 5264523529 + ... + 5264524759.

Almost surely, 26480629221264 is an apocalyptic number.

6480629221264 is the 2545708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480629221264

6480629221264 is an abundant number, since it is smaller than the sum of its proper divisors (7632195282059).

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

6480629221264 is an equidigital number, since it uses as much as digits as its factorization.

6480629221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 6480629221264 in words is "six trillion, four hundred eighty billion, six hundred twenty-nine million, two hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 376 484 517 752 968 1034 1231 1936 2068 2209 2462 4136 4418 4924 5687 8272 8836 9848 11374 13541 17672 19696 22748 24299 27082 35344 45496 48598 54164 57857 90992 97196 108328 115714 148951 194392 216656 231428 267289 297902 388784 462856 534578 595804 636427 925712 1069156 1191608 1272854 1515361 2138312 2383216 2545708 2719279 3030722 4276624 5091416 5438558 6061444 7000697 10182832 10877116 12122888 14001394 16668971 21754232 24245776 28002788 29912069 33337942 43508464 56005576 59824138 66675884 71221967 112011152 119648276 133351768 142443934 183358681 239296552 266703536 284887868 329032759 366717362 478593104 569775736 658065518 733434724 783441637 1139551472 1316131036 1466869448 1566883274 2632262072 2933738896 3133766548 3347432449 5264524144 6267533096 6694864898 8617858007 12535066192 13389729796 17235716014 26779459592 34471432028 36821756939 53558919184 68942864056 73643513878 137885728112 147287027756 294574055512 405039326329 589148111024 810078652658 1620157305316 3240314610632 6480629221264