Search a number
-
+
643427992269 = 32375932749427
BaseRepresentation
bin10010101110011110100…
…11000000001011001101
32021111210121021122100100
421113033103000023031
541020220031223034
61211330422521313
764325513460246
oct11271723001315
92244717248310
10643427992269
112289703669a7
12a484a896239
13488a0c86a5a
14231dbc27ccd
1511b0c78b099
hex95cf4c02cd

643427992269 has 24 divisors (see below), whose sum is σ = 970693045920. Its totient is φ = 410284808928.

The previous prime is 643427992237. The next prime is 643427992271. The reversal of 643427992269 is 962299724346.

643427992269 is a `hidden beast` number, since 6 + 43 + 427 + 99 + 22 + 69 = 666.

It is not a de Polignac number, because 643427992269 - 25 = 643427992237 is a prime.

It is a super-3 number, since 3×6434279922693 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643427992279) 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 23 ways as a sum of consecutive naturals, for example, 16355067 + ... + 16394360.

It is an arithmetic number, because the mean of its divisors is an integer number (40445543580).

Almost surely, 2643427992269 is an apocalyptic number.

It is an amenable number.

643427992269 is a deficient number, since it is larger than the sum of its proper divisors (327265053651).

643427992269 is a wasteful number, since it uses less digits than its factorization.

643427992269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32749529 (or 32749526 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 643427992269 in words is "six hundred forty-three billion, four hundred twenty-seven million, nine hundred ninety-two thousand, two hundred sixty-nine".

Divisors: 1 3 9 37 59 111 177 333 531 2183 6549 19647 32749427 98248281 294744843 1211728799 1932216193 3635186397 5796648579 10905559191 17389945737 71491999141 214475997423 643427992269