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57114667561105 = 5711198539153439
BaseRepresentation
bin11001111110010000010110…
…11110001011000010010001
321111020002221101100220000201
430333020023132023002101
524441231314343423410
6321250041022415201
715013253464032550
oct1477101336130221
9244202841326021
1057114667561105
1117220215953260
1264a5256731501
1325b3b7555c17b
1410165168a9d97
15690a3c0e283a
hex33f20b78b091

57114667561105 has 64 divisors (see below), whose sum is σ = 90052274995200. Its totient is φ = 33690510040320.

The previous prime is 57114667561087. The next prime is 57114667561121. The reversal of 57114667561105 is 50116576641175.

It is a happy number.

It is not a de Polignac number, because 57114667561105 - 29 = 57114667560593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1662976 + ... + 10816414.

It is an arithmetic number, because the mean of its divisors is an integer number (1407066796800).

Almost surely, 257114667561105 is an apocalyptic number.

57114667561105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57114667561105 is a deficient number, since it is larger than the sum of its proper divisors (32937607434095).

57114667561105 is a wasteful number, since it uses less digits than its factorization.

57114667561105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154334.

The product of its (nonzero) digits is 5292000, while the sum is 55.

The spelling of 57114667561105 in words is "fifty-seven trillion, one hundred fourteen billion, six hundred sixty-seven million, five hundred sixty-one thousand, one hundred five".

Divisors: 1 5 7 11 19 35 55 77 95 133 209 385 665 853 1045 1463 4265 5971 7315 9383 16207 29855 46915 65681 81035 113449 178277 328405 567245 891385 1247939 6239695 9153439 45767195 64074073 100687829 173915341 320370365 503439145 704814803 869576705 1217407387 1913068751 3524074015 6087036935 7807883467 9565343755 13391481257 39039417335 54655184269 66957406285 85886718137 148349785873 273275921345 429433590685 601207026959 741748929365 1038448501111 1631847644603 3006035134795 5192242505555 8159238223015 11422933512221 57114667561105