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56997571217940 = 2234535183685937
BaseRepresentation
bin11001111010110110001111…
…11111000100101000010100
321110210220200201221022220000
430331123013333010220110
524432322011212433230
6321120153413411300
715001636643401143
oct1475330777045024
9243726621838800
1056997571217940
1117185597035531
126486617339b30
1325a5b03ac6152
1410109a904b75a
1568c986eeeb60
hex33d6c7fc4a14

56997571217940 has 60 divisors (see below), whose sum is σ = 178803491936916. Its totient is φ = 15199352324352.

The previous prime is 56997571217927. The next prime is 56997571217987. The reversal of 56997571217940 is 4971217579965.

56997571217940 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 7 + 571 + 2 + 1 + 7 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29651553464976 + 27346017752964 = 5445324^2 + 5229342^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17591841349 + ... + 17591844588.

Almost surely, 256997571217940 is an apocalyptic number.

It is an amenable number.

56997571217940 is an abundant number, since it is smaller than the sum of its proper divisors (121805920718976).

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

56997571217940 is a wasteful number, since it uses less digits than its factorization.

56997571217940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35183685958 (or 35183685947 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 56997571217940 in words is "fifty-six trillion, nine hundred ninety-seven billion, five hundred seventy-one million, two hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 35183685937 70367371874 105551057811 140734743748 175918429685 211102115622 316653173433 351836859370 422204231244 527755289055 633306346866 703673718740 949959520299 1055510578110 1266612693732 1583265867165 1899919040598 2111021156220 2849878560897 3166531734330 3799838081196 4749797601495 5699757121794 6333063468660 9499595202990 11399514243588 14249392804485 18999190405980 28498785608970 56997571217940