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12662706564612 = 2232131711171424881
BaseRepresentation
bin1011100001000100010000…
…1000000110111000000100
31122211112122210101200200200
42320101010020012320010
53124431210340031422
642533100031410500
72444564446612116
oct270210410067004
948745583350620
1012662706564612
114042250815515
12150614a983a30
1370b11b74b9a0
1431ac41d773b6
1516e5bce212ac
hexb8444206e04

12662706564612 has 144 divisors (see below), whose sum is σ = 36531090518832. Its totient is φ = 3663742648320.

The previous prime is 12662706564523. The next prime is 12662706564643. The reversal of 12662706564612 is 21646560726621.

12662706564612 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 2 + 70 + 6 + 564 + 6 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 951475716 + 12661755088896 = 30846^2 + 3558336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8174412 + ... + 9599292.

It is an arithmetic number, because the mean of its divisors is an integer number (253688128603).

Almost surely, 212662706564612 is an apocalyptic number.

12662706564612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12662706564612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265545259416).

12662706564612 is an abundant number, since it is smaller than the sum of its proper divisors (23868383954220).

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

12662706564612 is a wasteful number, since it uses less digits than its factorization.

12662706564612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426038 (or 1426033 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12662706564612 in words is "twelve trillion, six hundred sixty-two billion, seven hundred six million, five hundred sixty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1117 1326 1989 2234 2652 3351 3978 4468 6702 7956 10053 13404 14521 18989 20106 29042 37978 40212 43563 56967 58084 75956 87126 113934 130689 170901 174252 227868 246857 261378 341802 493714 522756 683604 740571 987428 1424881 1481142 2221713 2849762 2962284 4274643 4443426 5699524 8549286 8886852 12823929 17098572 18523453 24222977 25647858 37046906 48445954 51295716 55570359 72668931 74093812 96891908 111140718 145337862 166711077 218006793 222281436 290675724 314898701 333422154 436013586 629797402 666844308 872027172 944696103 1259594804 1591592077 1889392206 2834088309 3183184154 3778784412 4774776231 5668176618 6366368308 9549552462 11336353236 14324328693 19099104924 20690697001 27057065309 28648657386 41381394002 54114130618 57297314772 62072091003 81171195927 82762788004 108228261236 124144182006 162342391854 186216273009 243513587781 248288364012 324684783708 351741849017 372432546018 487027175562 703483698034 744865092036 974054351124 1055225547051 1406967396068 2110451094102 3165676641153 4220902188204 6331353282306 12662706564612