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51656601610161 = 3367131257984521
BaseRepresentation
bin10111011111011001111010…
…11000111010011110110001
320202220022201101100110102000
423233230331120322132301
523232320210003011121
6301510414251044213
713611031512652602
oct1357547530723661
9222808641313360
1051656601610161
1115506494a18a99
12596348b440669
1322a9272cc5222
14ca829b2b9da9
155e8a9045b526
hex2efb3d63a7b1

51656601610161 has 64 divisors (see below), whose sum is σ = 78294689510400. Its totient is φ = 33651326966400.

The previous prime is 51656601610153. The next prime is 51656601610199. The reversal of 51656601610161 is 16101610665615.

51656601610161 is a `hidden beast` number, since 5 + 1 + 6 + 566 + 0 + 16 + 10 + 1 + 61 = 666.

It is not a de Polignac number, because 51656601610161 - 23 = 51656601610153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51656601620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611126581 + ... + 611211101.

It is an arithmetic number, because the mean of its divisors is an integer number (1223354523600).

Almost surely, 251656601610161 is an apocalyptic number.

It is an amenable number.

51656601610161 is a deficient number, since it is larger than the sum of its proper divisors (26638087900239).

51656601610161 is a wasteful number, since it uses less digits than its factorization.

51656601610161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87307 (or 87301 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51656601610161 in words is "fifty-one trillion, six hundred fifty-six billion, six hundred one million, six hundred ten thousand, one hundred sixty-one".

Divisors: 1 3 9 27 67 131 201 393 603 1179 1809 2579 3537 7737 8777 23211 26331 69633 78993 84521 172793 236979 253563 337849 518379 760689 1013547 1555137 2282067 3040641 4665411 5662907 9121923 11072251 16988721 22635883 33216753 50966163 67907649 99650259 152898489 203722947 217979659 298950777 611168841 653938977 741840817 1961816931 2225522451 5885450793 6676567353 14604637153 20029702059 28555335329 43813911459 85666005987 131441734377 256998017961 394325203131 770994053883 1913207467043 5739622401129 17218867203387 51656601610161