Search a number
-
+
57111077676117 = 3294397858118341
BaseRepresentation
bin11001111110001001101010…
…11111110110010001010101
321111012202200012100211121110
430333010311133312101111
524441201441341113432
6321244244503005233
715013065513356553
oct1477046537662125
9244182605324543
1057111077676117
1117219743513563
1264a4614439819
1325b37228b107a
141016295bd0bd3
156908cbd7cdcc
hex33f1357f6455

57111077676117 has 64 divisors (see below), whose sum is σ = 81450770607360. Its totient is φ = 35529996902400.

The previous prime is 57111077676077. The next prime is 57111077676137. The reversal of 57111077676117 is 71167677011175.

It is not a de Polignac number, because 57111077676117 - 212 = 57111077672021 is a prime.

It is a super-3 number, since 3×571110776761173 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57111077676137) 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, 3113838367 + ... + 3113856707.

It is an arithmetic number, because the mean of its divisors is an integer number (1272668290740).

Almost surely, 257111077676117 is an apocalyptic number.

It is an amenable number.

57111077676117 is a deficient number, since it is larger than the sum of its proper divisors (24339692931243).

57111077676117 is a wasteful number, since it uses less digits than its factorization.

57111077676117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27094.

The product of its (nonzero) digits is 3025260, while the sum is 57.

The spelling of 57111077676117 in words is "fifty-seven trillion, one hundred eleven billion, seventy-seven million, six hundred seventy-six thousand, one hundred seventeen".

Divisors: 1 3 29 43 87 97 129 291 1247 2813 3741 4171 8439 8581 12513 18341 25743 55023 120959 248849 362877 368983 531889 746547 788663 832357 1106949 1595667 1779077 2365989 2497071 5337231 10700507 22871227 24138353 32101521 35791351 51593233 68613681 72415059 76500311 107374053 154779699 157384121 229500933 472152363 1037949179 2218509019 3113847537 4564139509 6655527057 6767517203 13692418527 15266259737 20302551609 45798779211 196257998887 442721532373 588773996661 656449168691 1328164597119 1969347506073 19037025892039 57111077676117