Search a number
-
+
6042307980501 = 341322925057573
BaseRepresentation
bin101011111101101010110…
…0111101110110011010101
3210101122020211110122110000
41113323111213232303111
51242444121320334001
620503444205521513
71162354011262122
oct127732547566325
923348224418400
106042307980501
111a1a58a3723a1
12817058873299
1334aa3061caa0
1416c640b05749
15a72933baa86
hex57ed59eecd5

6042307980501 has 40 divisors (see below), whose sum is σ = 9762931981880. Its totient is φ = 3702105917568.

The previous prime is 6042307980479. The next prime is 6042307980551. The reversal of 6042307980501 is 1050897032406.

6042307980501 is a `hidden beast` number, since 6 + 0 + 42 + 30 + 79 + 8 + 0 + 501 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1276054899876 + 4766253080625 = 1129626^2 + 2183175^2 .

It is not a de Polignac number, because 6042307980501 - 25 = 6042307980469 is a prime.

It is a super-2 number, since 2×60423079805012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042307980551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12287650 + ... + 12769923.

It is an arithmetic number, because the mean of its divisors is an integer number (244073299547).

It is a 1-persistent number, because it is pandigital, but 2⋅6042307980501 = 12084615961002 is not.

Almost surely, 26042307980501 is an apocalyptic number.

It is an amenable number.

6042307980501 is a deficient number, since it is larger than the sum of its proper divisors (3720624001379).

6042307980501 is a wasteful number, since it uses less digits than its factorization.

6042307980501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25057827 (or 25057818 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6042307980501 in words is "six trillion, forty-two billion, three hundred seven million, nine hundred eighty thousand, five hundred one".

Divisors: 1 3 9 13 27 39 81 117 229 351 687 1053 2061 2977 6183 8931 18549 26793 80379 241137 25057573 75172719 225518157 325748449 676554471 977245347 2029663413 2931736041 5738184217 8795208123 17214552651 26385624369 51643657953 74596394821 154930973859 223789184463 464792921577 671367553389 2014102660167 6042307980501