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12196892684025 = 345272110872
BaseRepresentation
bin1011000101111100111101…
…1101001010111011111001
31121012000022102101210010000
42301133033131022323321
53044313214011342100
641535101455343213
72366124241141200
oct261371735127371
947160272353100
1012196892684025
113982744a47575
12144ba0a821b09
136a6215021a4a
14302493120237
151624086a3900
hexb17cf74aef9

12196892684025 has 135 divisors (see below), whose sum is σ = 26283862595199. Its totient is φ = 5575219463520.

The previous prime is 12196892683991. The next prime is 12196892684051. The reversal of 12196892684025 is 52048629869121.

The square root of 12196892684025 is 3492405.

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

12196892684025 is a `hidden beast` number, since 1 + 2 + 1 + 96 + 89 + 2 + 68 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4390881366249 + 7806011317776 = 2095443^2 + 2793924^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 12196892684025 - 27 = 12196892683897 is a prime.

It is a super-2 number, since 2×121968926840252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1100102032 + ... + 1100113118.

Almost surely, 212196892684025 is an apocalyptic number.

12196892684025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12196892684025 is the 3492405-th square number.

12196892684025 is the 1746203-rd centered octagonal number.

It is an amenable number.

12196892684025 is an abundant number, since it is smaller than the sum of its proper divisors (14086969911174).

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

12196892684025 is an frugal number, since it uses more digits than its factorization.

12196892684025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22210 (or 11102 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 12196892684025 in words is "twelve trillion, one hundred ninety-six billion, eight hundred ninety-two million, six hundred eighty-four thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 11087 14175 19845 33075 33261 55435 77609 99225 99783 166305 232827 277175 299349 388045 498915 543263 698481 831525 898047 1164135 1496745 1629789 1940225 2095443 2494575 2716315 3492405 4490235 4889367 5820675 6286329 7483725 8148945 10477215 13581575 14668101 17462025 22451175 24446835 31431645 40744725 44004303 52386075 73340505 122234175 122921569 157158225 220021515 366702525 368764707 614607845 860450983 1100107575 1106294121 1843823535 2581352949 3073039225 3318882363 4302254915 5531470605 6023156881 7744058847 9219117675 9956647089 12906764745 16594411815 18069470643 21511274575 23232176541 27657353025 30115784405 38720294235 49783235445 54208411929 64533823725 69696529623 82972059075 90347353215 116160882705 150578922025 162625235787 193601471175 248916177225 271042059645 348482648115 451736766075 487875707361 580804413525 813126178935 1355210298225 1742413240575 2439378536805 4065630894675 12196892684025