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56716227111132 = 223317293910510783
BaseRepresentation
bin11001110010101010001101…
…00100011110100011011100
321102211000111101100212111000
430321111012210132203130
524413214313120024012
6320343024113030300
714642416660060611
oct1471250644364334
9242730441325430
1056716227111132
1117087242684986
12643bb99855390
1325854180632c4
1410011198ac508
156854bc5a7ddc
hex33954691e8dc

56716227111132 has 96 divisors (see below), whose sum is σ = 155744592998400. Its totient is φ = 17787270249216.

The previous prime is 56716227111109. The next prime is 56716227111169. The reversal of 56716227111132 is 23111172261765.

56716227111132 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 622 + 7 + 1 + 1 + 1 + 13 + 2 = 666.

56716227111132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140613 + ... + 10651395.

It is an arithmetic number, because the mean of its divisors is an integer number (1622339510400).

Almost surely, 256716227111132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56716227111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77872296499200).

56716227111132 is an abundant number, since it is smaller than the sum of its proper divisors (99028365887268).

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

56716227111132 is a wasteful number, since it uses less digits than its factorization.

56716227111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513752 (or 10513744 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

Adding to 56716227111132 its reverse (23111172261765), we get a palindrome (79827399372897).

The spelling of 56716227111132 in words is "fifty-six trillion, seven hundred sixteen billion, two hundred twenty-seven million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2939 5878 8817 11756 17634 26451 35268 49963 52902 79353 99926 105804 149889 158706 199852 299778 317412 449667 599556 899334 1349001 1798668 2698002 5396004 10510783 21021566 31532349 42043132 63064698 94597047 126129396 178683311 189194094 283791141 357366622 378388188 536049933 567582282 714733244 1072099866 1135164564 1608149799 2144199732 3216299598 4824449397 6432599196 9648898794 19297797588 30891191237 61782382474 92673573711 123564764948 185347147422 278020721133 370694294844 525150251029 556041442266 834062163399 1050300502058 1112082884532 1575450753087 1668124326798 2100601004116 3150901506174 3336248653596 4726352259261 6301803012348 9452704518522 14179056777783 18905409037044 28358113555566 56716227111132