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51429728133 = 32741227239367
BaseRepresentation
bin101111111001011100…
…110101111110000101
311220202020002212220200
4233321130311332011
51320312002300013
635343153321113
73500322322230
oct577134657605
9156666085820
1051429728133
111a8a1816a53
129b73866199
134b080297c4
1426bc580417
15151015ce73
hexbf9735f85

51429728133 has 96 divisors (see below), whose sum is σ = 87958241280. Its totient is φ = 28348427520.

The previous prime is 51429728123. The next prime is 51429728153. The reversal of 51429728133 is 33182792415.

It is a happy number.

51429728133 is a `hidden beast` number, since 51 + 4 + 297 + 281 + 33 = 666.

It is not a de Polignac number, because 51429728133 - 25 = 51429728101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51429728123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 140135316 + ... + 140135682.

It is an arithmetic number, because the mean of its divisors is an integer number (916231680).

Almost surely, 251429728133 is an apocalyptic number.

It is an amenable number.

51429728133 is a deficient number, since it is larger than the sum of its proper divisors (36528513147).

51429728133 is a wasteful number, since it uses less digits than its factorization.

51429728133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 884 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 51429728133 in words is "fifty-one billion, four hundred twenty-nine million, seven hundred twenty-eight thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 41 63 123 227 239 287 367 369 681 717 861 1101 1589 1673 2043 2151 2569 2583 3303 4767 5019 7707 9307 9799 14301 15047 15057 23121 27921 29397 45141 54253 65149 68593 83309 83763 87713 88191 105329 135423 162759 195447 205779 249927 263139 315987 379771 488277 583163 586341 613991 617337 749781 789417 947961 1139313 1749489 1841973 2224373 3415669 3417939 3596233 5248467 5525919 6673119 10247007 10788699 15570611 19910851 20019357 23909683 25173631 30741021 32366097 46711833 59732553 71729049 75520893 139375957 140135499 179197659 215187147 226562679 418127871 816344891 1254383613 2449034673 5714414237 7347104019 17143242711 51429728133