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5677455401141 = 179715776128817
BaseRepresentation
bin101001010011110001010…
…1101100110000010110101
3202002202111121222020111012
41102213202231212002311
51221004412040314031
620024104220522005
71124116431442166
oct122474255460265
922082447866435
105677455401141
111899882621377
127783b43b0305
133224c6910284
14158b0c86576d
159ca3c472b2b
hex529e2b660b5

5677455401141 has 32 divisors (see below), whose sum is σ = 6120324880992. Its totient is φ = 5247628738560.

The previous prime is 5677455401083. The next prime is 5677455401147. The reversal of 5677455401141 is 1411045547765.

It can be written as a sum of positive squares in 16 ways, for example, as 1056013140625 + 4621442260516 = 1027625^2 + 2149754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5677455401141 is a prime.

It is a super-2 number, since 2×56774554011412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5677455401141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677455401147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197003165 + ... + 197031981.

It is an arithmetic number, because the mean of its divisors is an integer number (191260152531).

Almost surely, 25677455401141 is an apocalyptic number.

It is an amenable number.

5677455401141 is a deficient number, since it is larger than the sum of its proper divisors (442869479851).

5677455401141 is a wasteful number, since it uses less digits than its factorization.

5677455401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29849.

The product of its (nonzero) digits is 2352000, while the sum is 50.

The spelling of 5677455401141 in words is "five trillion, six hundred seventy-seven billion, four hundred fifty-five million, four hundred one thousand, one hundred forty-one".

Divisors: 1 17 97 157 761 1649 2669 12937 15229 28817 73817 119477 258893 489889 1254889 2031109 2795249 4524269 11589269 21929737 47519233 76912573 197017573 372805529 438854093 2127184489 3442968709 7460519581 36162136313 58530468053 333967964773 5677455401141