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5040508806333 = 32711213431182869
BaseRepresentation
bin100100101011001010110…
…1111001010010010111101
3122211212102201120200222200
41021112111233022102331
51130040430223300313
614415324444502113
71030110335635260
oct111262557122275
918755381520880
105040508806333
1116737388a7300
12694a7424a939
132a7419693060
14135d6775ccd7
158b1adc10b73
hex49595bca4bd

5040508806333 has 144 divisors (see below), whose sum is σ = 10078658029440. Its totient is φ = 2360815269120.

The previous prime is 5040508806317. The next prime is 5040508806373. The reversal of 5040508806333 is 3336088050405.

5040508806333 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 5 + 0 + 8 + 8 + 0 + 633 + 3 = 666.

It is not a de Polignac number, because 5040508806333 - 24 = 5040508806317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040508806373) 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 143 ways as a sum of consecutive naturals, for example, 3669823 + ... + 4852691.

It is an arithmetic number, because the mean of its divisors is an integer number (69990680760).

Almost surely, 25040508806333 is an apocalyptic number.

It is an amenable number.

5040508806333 is a deficient number, since it is larger than the sum of its proper divisors (5038149223107).

5040508806333 is a wasteful number, since it uses less digits than its factorization.

5040508806333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182960 (or 1182946 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5040508806333 in words is "five trillion, forty billion, five hundred eight million, eight hundred six thousand, three hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 39 43 63 77 91 99 117 121 129 143 231 273 301 363 387 429 473 559 693 819 847 903 1001 1089 1287 1419 1573 1677 2541 2709 3003 3311 3913 4257 4719 5031 5203 6149 7623 9009 9933 11011 11739 14157 15609 18447 29799 33033 35217 36421 43043 46827 55341 67639 99099 109263 129129 202917 327789 387387 473473 608751 1182869 1420419 3548607 4261257 8280083 10645821 13011559 15377297 24840249 39034677 46131891 50863367 74520747 91080913 107641079 117104031 138395673 143127149 152590101 169150267 273242739 322923237 356043569 429381447 457770303 507450801 559497037 661223771 819728217 968769711 1001890043 1068130707 1184051869 1288144341 1522352403 1678491111 1860652937 1983671313 3005670129 3204392121 3552155607 3916479259 4628566397 5035473333 5581958811 5951013939 6154467407 7273461481 9017010387 10656466821 11749437777 13024570559 13885699191 16745876433 18463402221 21820384443 35248313331 39073711677 41657097573 43081271849 50914230367 55390206663 65461153329 80008076291 117221135031 129243815547 152742691101 240024228873 387731446641 458228073303 560056534037 720072686619 1680169602111 5040508806333