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6420640113 = 3219319471279
BaseRepresentation
bin1011111101011001…
…10011000101110001
3121120110120022102200
411332230303011301
5101122140440423
62541040333413
7315052353246
oct57654630561
917513508380
106420640113
1127a5313a48
1212b2314269
137b4285c44
1444ca275cd
15278a26d43
hex17eb33171

6420640113 has 48 divisors (see below), whose sum is σ = 10095820800. Its totient is φ = 3917121120.

The previous prime is 6420640103. The next prime is 6420640169. The reversal of 6420640113 is 3110460246.

6420640113 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 640 + 1 + 13 = 666.

6420640113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6420640113 - 24 = 6420640097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6420640103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5019408 + ... + 5020686.

It is an arithmetic number, because the mean of its divisors is an integer number (210329600).

Almost surely, 26420640113 is an apocalyptic number.

It is an amenable number.

6420640113 is a deficient number, since it is larger than the sum of its proper divisors (3675180687).

6420640113 is a wasteful number, since it uses less digits than its factorization.

6420640113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6420640113 is about 80128.8968662367. The cubic root of 6420640113 is about 1858.6292858087.

The spelling of 6420640113 in words is "six billion, four hundred twenty million, six hundred forty thousand, one hundred thirteen".

Divisors: 1 3 9 19 31 57 93 171 279 589 947 1279 1767 2841 3837 5301 8523 11511 17993 24301 29357 39649 53979 72903 88071 118947 161937 218709 264213 356841 557783 753331 1211213 1673349 2259993 3633639 5020047 6779979 10900917 23013047 37547603 69039141 112642809 207117423 337928427 713404457 2140213371 6420640113