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67425272738568 = 233213733120651027
BaseRepresentation
bin11110101010010101010110…
…11011100011001100001000
322211201210102012001000010200
433111022223123203030020
532314143424310113233
6355222424230412200
720126213054016333
oct1725125333431410
9284653365030120
1067425272738568
111a535996762348
12768b577501060
132b812396c2b14
1412915873d361a
157bdd45794313
hex3d52ab6e3308

67425272738568 has 96 divisors (see below), whose sum is σ = 184498762275360. Its totient is φ = 22243633125120.

The previous prime is 67425272738557. The next prime is 67425272738627. The reversal of 67425272738568 is 86583727252476.

67425272738568 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 5 + 2 + 7 + 27 + 38 + 568 = 666.

67425272738568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×674252727385682 (a number of 28 digits) contains 22 as substring.

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 = 67425272738496 and 67425272738505.

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, 7060530 + ... + 13590497.

It is an arithmetic number, because the mean of its divisors is an integer number (1921862107035).

Almost surely, 267425272738568 is an apocalyptic number.

It is an amenable number.

67425272738568 is an abundant number, since it is smaller than the sum of its proper divisors (117073489536792).

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

67425272738568 is a wasteful number, since it uses less digits than its factorization.

67425272738568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651507 (or 20651500 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 67425272738568 in words is "sixty-seven trillion, four hundred twenty-five billion, two hundred seventy-two million, seven hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 331 411 548 662 822 993 1096 1233 1324 1644 1986 2466 2648 2979 3288 3972 4932 5958 7944 9864 11916 23832 45347 90694 136041 181388 272082 362776 408123 544164 816246 1088328 1632492 3264984 20651027 41302054 61953081 82604108 123906162 165208216 185859243 247812324 371718486 495624648 743436972 1486873944 2829190699 5658381398 6835489937 8487572097 11316762796 13670979874 16975144194 20506469811 22633525592 25462716291 27341959748 33950288388 41012939622 50925432582 54683919496 61519409433 67900576776 82025879244 101850865164 123038818866 164051758488 203701730328 246077637732 492155275464 936462121369 1872924242738 2809386364107 3745848485476 5618772728214 7491696970952 8428159092321 11237545456428 16856318184642 22475090912856 33712636369284 67425272738568