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57145238029439 = 71729271404915091
BaseRepresentation
bin11001111111001001010011…
…00111010000010001111111
321111100000211220002120211122
430333210221213100101333
524442231421413420224
6321312054313541155
715015415161522440
oct1477445147202177
9244300756076748
1057145238029439
111723218310461a
1264ab1687147bb
1325b6a07b800a1
141017bb69b12c7
1569172ad5415e
hex33f9299d047f

57145238029439 has 64 divisors (see below), whose sum is σ = 71821499904000. Its totient is φ = 44332556083200.

The previous prime is 57145238029421. The next prime is 57145238029501. The reversal of 57145238029439 is 93492083254175.

It is not a de Polignac number, because 57145238029439 - 28 = 57145238029183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57145238029639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786702284 + ... + 3786717374.

It is an arithmetic number, because the mean of its divisors is an integer number (1122210936000).

Almost surely, 257145238029439 is an apocalyptic number.

57145238029439 is a deficient number, since it is larger than the sum of its proper divisors (14676261874561).

57145238029439 is a wasteful number, since it uses less digits than its factorization.

57145238029439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19464.

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 57145238029439 in words is "fifty-seven trillion, one hundred forty-five billion, two hundred thirty-eight million, twenty-nine thousand, four hundred thirty-nine".

Divisors: 1 7 17 29 119 203 271 493 1897 3451 4049 4607 7859 15091 28343 32249 55013 68833 105637 117421 133603 256547 437639 481831 821947 935221 1097279 1795829 1996157 3063473 4089661 7439863 7680953 13973099 18653743 28627627 31821091 52079041 61103459 69524237 118600169 130576201 222747637 427724213 486669659 540958547 830201183 1038758803 1772000311 2016202873 3786709829 7271311621 12404002177 14113420111 16559037389 30124005287 115913261723 210868037009 281503635613 480212084281 1970525449291 3361484589967 8163605432777 57145238029439