Search a number
-
+
83213231238 = 23214982737517
BaseRepresentation
bin100110101111111100…
…1010010010010000110
321221210021101010121100
41031133321102102012
52330410041344423
6102121100200530
76004046536464
oct1153771222206
9257707333540
1083213231238
1132321777295
1214163b39146
137b01a56b87
144055809834
152270632343
hex135fe52486

83213231238 has 48 divisors (see below), whose sum is σ = 181729688400. Its totient is φ = 27517535808.

The previous prime is 83213231237. The next prime is 83213231261.

83213231238 is a `hidden beast` number, since 8 + 321 + 323 + 1 + 2 + 3 + 8 = 666.

83213231238 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83213231237) 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, 2199256 + ... + 2236772.

It is an arithmetic number, because the mean of its divisors is an integer number (3786035175).

Almost surely, 283213231238 is an apocalyptic number.

83213231238 is an abundant number, since it is smaller than the sum of its proper divisors (98516457162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83213231238 is a wasteful number, since it uses less digits than its factorization.

83213231238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38501 (or 38498 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 83213231238 in words is "eighty-three billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 149 298 447 827 894 1341 1654 2481 2682 4962 7443 14886 37517 75034 112551 123223 225102 246446 337653 369669 675306 739338 1109007 2218014 5590033 11180066 16770099 31026559 33540198 50310297 62053118 93079677 100620594 186159354 279239031 558478062 4622957291 9245914582 13868871873 27737743746 41606615619 83213231238