Search a number
-
+
6146149128993 = 323504591948603
BaseRepresentation
bin101100101110000001100…
…0010010001101100100001
3210202120021200220112211200
41121130003002101230201
51301144303134111433
621023300230031413
71203021206420226
oct131340302215441
923676250815750
106146149128993
111a5a626a54185
128331b8aa8569
1335776bb73153
14173691d6994d
15a9d1e94d613
hex59703091b21

6146149128993 has 12 divisors (see below), whose sum is σ = 8877800851920. Its totient is φ = 4097418958296.

The previous prime is 6146149128991. The next prime is 6146149129007. The reversal of 6146149128993 is 3998219416416.

6146149128993 is a `hidden beast` number, since 6 + 1 + 4 + 61 + 491 + 2 + 89 + 9 + 3 = 666.

It is not a de Polignac number, because 6146149128993 - 21 = 6146149128991 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6146149128993.

It is not an unprimeable number, because it can be changed into a prime (6146149128991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2179830 + ... + 4128432.

It is an arithmetic number, because the mean of its divisors is an integer number (739816737660).

Almost surely, 26146149128993 is an apocalyptic number.

It is an amenable number.

6146149128993 is a deficient number, since it is larger than the sum of its proper divisors (2731651722927).

6146149128993 is a wasteful number, since it uses less digits than its factorization.

6146149128993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299068 (or 2299065 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 6146149128993 in words is "six trillion, one hundred forty-six billion, one hundred forty-nine million, one hundred twenty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 350459 1051377 1948603 3154131 5845809 17537427 682905458777 2048716376331 6146149128993