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57334499443375 = 5372112233363541
BaseRepresentation
bin11010000100101001110100…
…11110010000001010101111
321112000010100211211120121021
431002110322132100022233
530003332023324142000
6321535034434515011
715035165226144400
oct1502247236201257
9245003324746537
1057334499443375
11172a5474257100
12651b987a35a67
1325cb80a48260b
14102300c7cd9a7
1569660667511a
hex34253a7902af

57334499443375 has 144 divisors (see below), whose sum is σ = 95468300561088. Its totient is φ = 34187020560000.

The previous prime is 57334499443307. The next prime is 57334499443379.

57334499443375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57334499443375 - 29 = 57334499442863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57334499443379) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15364105 + ... + 18727645.

It is an arithmetic number, because the mean of its divisors is an integer number (662974309452).

Almost surely, 257334499443375 is an apocalyptic number.

57334499443375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57334499443375 is a deficient number, since it is larger than the sum of its proper divisors (38133801117713).

57334499443375 is a wasteful number, since it uses less digits than its factorization.

57334499443375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363615 (or 3363587 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 70.

The spelling of 57334499443375 in words is "fifty-seven trillion, three hundred thirty-four billion, four hundred ninety-nine million, four hundred forty-three thousand, three hundred seventy-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 121 125 161 175 245 253 275 385 539 575 605 805 847 875 1127 1225 1265 1375 1771 1925 2695 2783 2875 3025 4025 4235 5635 5929 6125 6325 8855 9625 12397 13475 13915 15125 19481 20125 21175 28175 29645 31625 44275 61985 67375 69575 97405 105875 136367 140875 148225 221375 309925 347875 487025 681835 741125 1549625 2435125 3363541 3409175 16817705 17045875 23544787 36998951 77361443 84088525 117723935 164813509 184994755 258992657 386807215 406988461 420442625 541530101 588619675 824067545 850975873 924973775 1294963285 1812948599 1934036075 2034942305 2707650505 2848919227 2943098375 3790710707 4120337725 4254879365 4624868875 5956831111 6474816425 9064742995 9360734603 9670180375 10174711525 13538252525 14244596135 18953553535 19942434589 20601688625 21274396825 29784155555 32374082125 41697817777 45323714975 46803673015 50873557625 65525142221 67691262625 71222980675 94767767675 99712172945 106371984125 148920777775 208489088885 226618574875 234018365075 327625711105 356114903375 458675995547 473838838375 498560864725 744603888875 1042445444425 1170091825375 1638128555525 2293379977735 2492804323625 5212227222125 8190642777625 11466899888675 57334499443375