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68219256231 = 32727910131933
BaseRepresentation
bin111111100010001011…
…110011110110100111
320112002022120021122200
4333202023303312213
52104203112144411
651201155225543
74633352052600
oct774213636647
9215068507580
1068219256231
1126a27a9aa05
121127a5a82b3
13658253a309
143432312da7
151b9410ce56
hexfe22f3da7

68219256231 has 72 divisors (see below), whose sum is σ = 116252585280. Its totient is φ = 38431096704.

The previous prime is 68219256229. The next prime is 68219256251. The reversal of 68219256231 is 13265291286.

68219256231 is a `hidden beast` number, since 6 + 8 + 2 + 19 + 2 + 5 + 623 + 1 = 666.

It is not a de Polignac number, because 68219256231 - 21 = 68219256229 is a prime.

It is a super-2 number, since 2×682192562312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68219256251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35290941 + ... + 35292873.

It is an arithmetic number, because the mean of its divisors is an integer number (1614619240).

Almost surely, 268219256231 is an apocalyptic number.

68219256231 is a deficient number, since it is larger than the sum of its proper divisors (48033329049).

68219256231 is a wasteful number, since it uses less digits than its factorization.

68219256231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3035 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 68219256231 in words is "sixty-eight billion, two hundred nineteen million, two hundred fifty-six thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 79 147 237 441 553 711 1013 1659 1933 3039 3871 4977 5799 7091 9117 11613 13531 17397 21273 34839 40593 49637 63819 80027 94717 121779 148911 152707 240081 284151 446733 458121 560189 720243 852453 1068949 1374363 1680567 1958129 3206847 3921323 5041701 5874387 7482643 9620541 11763969 13706903 17623161 22447929 35291907 41120709 67343787 95948321 123362127 154692191 287844963 464076573 863534889 1082845337 1392229719 3248536011 7579917359 9745608033 22739752077 68219256231