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428917775696322 = 231183571137124769
BaseRepresentation
bin110000110000110010011001…
…1101010001000000111000010
32002020200010202021000001010020
41201201210303222020013002
5422204342101034240242
64120122034515314310
7156226200220456533
oct14141446352100702
92066603667001106
10428917775696322
11114737009576480
124013317b2ab996
1315543a077c8a33
1477cba3424a68a
15348c207ca46ec
hex1861933a881c2

428917775696322 has 64 divisors (see below), whose sum is σ = 948754216650240. Its totient is φ = 128184233126400.

The previous prime is 428917775696321. The next prime is 428917775696327. The reversal of 428917775696322 is 223696577719824.

It is a super-3 number, since 3×4289177756963223 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (428917775696321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65434447 + ... + 71690322.

It is an arithmetic number, because the mean of its divisors is an integer number (14824284635160).

Almost surely, 2428917775696322 is an apocalyptic number.

428917775696322 is an abundant number, since it is smaller than the sum of its proper divisors (519836440953918).

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

428917775696322 is a wasteful number, since it uses less digits than its factorization.

428917775696322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137125439.

The product of its digits is 3840721920, while the sum is 78.

The spelling of 428917775696322 in words is "four hundred twenty-eight trillion, nine hundred seventeen billion, seven hundred seventy-five million, six hundred ninety-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 571 913 1142 1713 1826 2739 3426 5478 6281 12562 18843 37686 47393 94786 142179 284358 521323 1042646 1563969 3127938 137124769 274249538 411374307 822748614 1508372459 3016744918 4525117377 9050234754 11381355827 22762711654 34144067481 68288134962 78298243099 125194914097 156596486198 234894729297 250389828194 375584742291 469789458594 751169484582 861280674089 1722561348178 2583842022267 5167684044534 6498754177217 12997508354434 19496262531651 38992525063302 71486295949387 142972591898774 214458887848161 428917775696322