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13141666325601 = 32114316571863049
BaseRepresentation
bin1011111100111100100001…
…0110100110010001100001
31201112022221022200112000200
42333033020112212101201
53210303113034404401
643541110445335413
72524311512452002
oct277171026462141
951468838615020
1013141666325601
114207393046a30
121582b39567569
1374433b836398
143360baa911a9
1517bca1809686
hexbf3c85a6461

13141666325601 has 48 divisors (see below), whose sum is σ = 21202462881600. Its totient is φ = 7774722869760.

The previous prime is 13141666325569. The next prime is 13141666325617. The reversal of 13141666325601 is 10652366614131.

13141666325601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13141666325601 - 25 = 13141666325569 is a prime.

It is a super-2 number, since 2×131416663256012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13141666325621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6122325 + ... + 7985373.

It is an arithmetic number, because the mean of its divisors is an integer number (441717976700).

Almost surely, 213141666325601 is an apocalyptic number.

13141666325601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13141666325601 is a deficient number, since it is larger than the sum of its proper divisors (8060796555999).

13141666325601 is a wasteful number, since it uses less digits than its factorization.

13141666325601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864766 (or 1864763 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13141666325601 in words is "thirteen trillion, one hundred forty-one billion, six hundred sixty-six million, three hundred twenty-five thousand, six hundred one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 1657 4257 4971 14913 18227 54681 71251 164043 213753 641259 783761 1863049 2351283 5589147 7053849 16767441 20493539 61480617 80111107 184441851 240333321 720999963 881222177 2643666531 3087072193 7930999593 9261216579 27783649737 33957794123 101873382369 132744104299 305620147107 398232312897 1194696938691 1460185147289 4380555441867 13141666325601