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10484121663 = 32171931317367
BaseRepresentation
bin10011100001110011…
…10000000000111111
31000001122201120012100
421300321300000333
5132432413343123
64452155040143
7520543364241
oct116071600077
930048646170
1010484121663
1144a0016864
122047140053
13cb10a31b2
14716584091
1541563b643
hex270e7003f

10484121663 has 96 divisors (see below), whose sum is σ = 17525514240. Its totient is φ = 5995607040.

The previous prime is 10484121649. The next prime is 10484121689. The reversal of 10484121663 is 36612148401.

10484121663 is a `hidden beast` number, since 1 + 0 + 484 + 12 + 166 + 3 = 666.

It is a Cunningham number, because it is equal to 1023922-1.

It is not a de Polignac number, because 10484121663 - 24 = 10484121647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10484121163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28566906 + ... + 28567272.

It is an arithmetic number, because the mean of its divisors is an integer number (182557440).

Almost surely, 210484121663 is an apocalyptic number.

10484121663 is a deficient number, since it is larger than the sum of its proper divisors (7041392577).

10484121663 is a wasteful number, since it uses less digits than its factorization.

10484121663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10484121663 in words is "ten billion, four hundred eighty-four million, one hundred twenty-one thousand, six hundred sixty-three".

Divisors: 1 3 9 17 19 31 51 57 93 153 171 279 317 323 367 527 589 951 969 1101 1581 1767 2853 2907 3303 4743 5301 5389 6023 6239 6973 9827 10013 11377 16167 18069 18717 20919 29481 30039 34131 48501 54207 56151 62757 88443 90117 102391 102393 116339 118541 167059 186713 193409 216163 307173 349017 355623 501177 560139 580227 648489 921519 1047051 1066869 1503531 1680417 1740681 1945467 1977763 2210441 3174121 3606509 3674771 5933289 6631323 9522363 10819527 11024313 17799867 19893969 28567089 32458581 33072939 37577497 61310653 68523671 112732491 183931959 205571013 338197473 551795877 616713039 1164902407 3494707221 10484121663