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5288369624568 = 2332281407964081
BaseRepresentation
bin100110011110100101101…
…1001001001010111111000
3200201120012120102212101200
41030331023121021113320
51143121040110441233
615125235442214200
71054033505061432
oct114751331112770
920646176385350
105288369624568
11175986a870638
12714b08354360
132c48ca4c5b04
14143d5c005652
1592868d23313
hex4cf4b6495f8

5288369624568 has 96 divisors (see below), whose sum is σ = 14377386254400. Its totient is φ = 1756058572800.

The previous prime is 5288369624477. The next prime is 5288369624609. The reversal of 5288369624568 is 8654269638825.

It is a happy number.

5288369624568 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 36 + 9 + 6 + 24 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5288369624496 and 5288369624505.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82494288 + ... + 82558368.

It is an arithmetic number, because the mean of its divisors is an integer number (149764440150).

Almost surely, 25288369624568 is an apocalyptic number.

It is an amenable number.

5288369624568 is an abundant number, since it is smaller than the sum of its proper divisors (9089016629832).

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

5288369624568 is a wasteful number, since it uses less digits than its factorization.

5288369624568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68453 (or 68446 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 5288369624568 in words is "five trillion, two hundred eighty-eight billion, three hundred sixty-nine million, six hundred twenty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 843 1124 1686 2248 2529 3372 4079 5058 6744 8158 10116 12237 16316 20232 24474 32632 36711 48948 64081 73422 97896 128162 146844 192243 256324 293688 384486 512648 576729 768972 1146199 1153458 1537944 2292398 2306916 3438597 4584796 4613832 6877194 9169592 10315791 13754388 18006761 20631582 27508776 36013522 41263164 54020283 72027044 82526328 108040566 144054088 162060849 216081132 261386399 324121698 432162264 522772798 648243396 784159197 1045545596 1296486792 1568318394 2091091192 2352477591 3136636788 4704955182 6273273576 9409910364 18819820728 73449578119 146899156238 220348734357 293798312476 440697468714 587596624952 661046203071 881394937428 1322092406142 1762789874856 2644184812284 5288369624568