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12979620220176 = 243267244812
BaseRepresentation
bin1011110011100000110110…
…1001110000110100010000
31200221211200001100110001100
42330320031221300310100
53200124230234021201
643334431043104400
72506514042336601
oct274701551606420
950854601313040
1012979620220176
114154698266555
121557654672100
13731c856cb8bc
1432c30751dda8
1517796a3ed886
hexbce0da70d10

12979620220176 has 135 divisors (see below), whose sum is σ = 36883395238053. Its totient is φ = 4261013729280.

The previous prime is 12979620220153. The next prime is 12979620220207. The reversal of 12979620220176 is 67102202697921.

The square root of 12979620220176 is 3602724.

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

12979620220176 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 9 + 620 + 2 + 2 + 0 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10182966037776 + 2796654182400 = 3191076^2 + 1672320^2 .

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, 2896587856 + ... + 2896592336.

Almost surely, 212979620220176 is an apocalyptic number.

12979620220176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12979620220176 is the 3602724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12979620220176

12979620220176 is an abundant number, since it is smaller than the sum of its proper divisors (23903775017877).

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

12979620220176 is an frugal number, since it uses more digits than its factorization.

12979620220176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12979620220176 in words is "twelve trillion, nine hundred seventy-nine billion, six hundred twenty million, two hundred twenty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4481 4489 4824 8962 8978 9648 13443 13467 17924 17956 26886 26934 35848 35912 40329 40401 53772 53868 71696 71824 80658 80802 107544 107736 161316 161604 215088 215472 300227 322632 323208 600454 645264 646416 900681 1200908 1801362 2401816 2702043 3602724 4803632 5404086 7205448 10808172 14410896 20079361 20115209 21616344 40158722 40230418 43232688 60238083 60345627 80317444 80460836 120476166 120691254 160634888 160921672 180714249 181036881 240952332 241382508 321269776 321843344 361428498 362073762 481904664 482765016 722856996 724147524 963809328 965530032 1345317187 1445713992 1448295048 2690634374 2891427984 2896590096 4035951561 5381268748 8071903122 10762537496 12107854683 16143806244 21525074992 24215709366 32287612488 48431418732 64575224976 90136251529 96862837464 180272503058 193725674928 270408754587 360545006116 540817509174 721090012232 811226263761 1081635018348 1442180024464 1622452527522 2163270036696 3244905055044 4326540073392 6489810110088 12979620220176