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51326416133460 = 223251321687258913
BaseRepresentation
bin10111010101110010111001…
…10011010001110101010100
320201201202110012010100002100
423222321130303101311110
523211413000012232320
6301055010254242100
713545132303503046
oct1352713463216524
9221652405110070
1051326416133460
1115399457915336
12590b4a0ab6330
1322840a2560900
14c962d724ba96
155e01b7c37790
hex2eae5ccd1d54

51326416133460 has 108 divisors (see below), whose sum is σ = 168587536169052. Its totient is φ = 12634194733056.

The previous prime is 51326416133449. The next prime is 51326416133467. The reversal of 51326416133460 is 6433161462315.

51326416133460 is a `hidden beast` number, since 5 + 1 + 3 + 26 + 4 + 1 + 613 + 3 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2247732571536 + 49078683561924 = 1499244^2 + 7005618^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51326416133467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 843599037 + ... + 843659876.

It is an arithmetic number, because the mean of its divisors is an integer number (1560995705269).

Almost surely, 251326416133460 is an apocalyptic number.

It is an amenable number.

51326416133460 is an abundant number, since it is smaller than the sum of its proper divisors (117261120035592).

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

51326416133460 is a wasteful number, since it uses less digits than its factorization.

51326416133460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687258954 (or 1687258936 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 51326416133460 its reverse (6433161462315), we get a palindrome (57759577595775).

The spelling of 51326416133460 in words is "fifty-one trillion, three hundred twenty-six billion, four hundred sixteen million, one hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 1687258913 3374517826 5061776739 6749035652 8436294565 10123553478 15185330217 16872589130 20247106956 21934365869 25308883695 30370660434 33745178260 43868731738 50617767390 60741320868 65803097607 75926651085 87737463476 101235534780 109671829345 131606195214 151853302170 197409292821 219343658690 263212390428 285146756297 303706604340 329015488035 394818585642 438687317380 570293512594 658030976070 789637171284 855440268891 987046464105 1140587025188 1316061952140 1425733781485 1710880537782 1974092928210 2566320806673 2851467562970 3421761075564 3948185856420 4277201344455 5132641613346 5702935125940 8554402688910 10265283226692 12831604033365 17108805377820 25663208066730 51326416133460