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13297779078544 = 2453210321672
BaseRepresentation
bin1100000110000010000101…
…1001011111010110010000
31202002020220002101001112101
43001200201121133112100
53220332322421003134
644140525415410144
72541506235120262
oct301404131372620
952066802331471
1013297779078544
114267613687914
1215a9247383954
13755c8a63b9cc
1433d88a201b32
15180d8bd94e14
hexc182165f590

13297779078544 has 135 divisors (see below), whose sum is σ = 26676901112673. Its totient is φ = 6421421175936.

The previous prime is 13297779078533. The next prime is 13297779078599. The reversal of 13297779078544 is 44587097779231.

The square root of 13297779078544 is 3646612.

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

It can be written as a sum of positive squares in only one way, i.e., 9586330592400 + 3711448486144 = 3096180^2 + 1926512^2 .

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, 79627419549 + ... + 79627419715.

Almost surely, 213297779078544 is an apocalyptic number.

13297779078544 is the 3646612-nd square number.

It is an amenable number.

13297779078544 is an abundant number, since it is smaller than the sum of its proper divisors (13379122034129).

13297779078544 is an frugal number, since it uses more digits than its factorization.

13297779078544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 73.

The spelling of 13297779078544 in words is "thirteen trillion, two hundred ninety-seven billion, seven hundred seventy-nine million, seventy-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 53 103 106 167 206 212 334 412 424 668 824 848 1336 1648 2672 2809 5459 5618 8851 10609 10918 11236 17201 17702 21218 21836 22472 27889 34402 35404 42436 43672 44944 55778 68804 70808 84872 87344 111556 137608 141616 169744 223112 275216 289327 446224 469103 562277 578654 911653 938206 1124554 1157308 1478117 1771703 1823306 1876412 2249108 2314616 2872567 2956234 3543406 3646612 3752824 4498216 4629232 5745134 5912468 7086812 7293224 7505648 8996432 11490268 11824936 14173624 14586448 22980536 23649872 28347248 29800681 45961072 48317609 59601362 78340201 93900259 96635218 119202724 152246051 156680402 187800518 193270436 238405448 295874401 304492102 313360804 375601036 386540872 476810896 591748802 608984204 626721608 751202072 773081744 1183497604 1217968408 1253443216 1502404144 2366995208 2435936816 4733990416 4976713727 8069040703 9953427454 15681343253 16138081406 19906854908 31362686506 32276162812 39813709816 62725373012 64552325624 79627419632 125450746024 129104651248 250901492048 831111192409 1662222384818 3324444769636 6648889539272 13297779078544