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319238465084 = 22731126380429
BaseRepresentation
bin1001010010101000001…
…10000110011000111100
31010112000021111022110222
410221110012012120330
520212300021340314
6402353420120512
732031012116000
oct4512406063074
91115007438428
10319238465084
1111342a877920
1251a54396138
1324147800666
1411646232700
15848664ec8e
hex4a5418663c

319238465084 has 96 divisors (see below), whose sum is σ = 713446272000. Its totient is φ = 123904159680.

The previous prime is 319238465083. The next prime is 319238465089. The reversal of 319238465084 is 480564832913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319238465081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3928982 + ... + 4009410.

It is an arithmetic number, because the mean of its divisors is an integer number (7431732000).

Almost surely, 2319238465084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319238465084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356723136000).

319238465084 is an abundant number, since it is smaller than the sum of its proper divisors (394207806916).

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

319238465084 is a wasteful number, since it uses less digits than its factorization.

319238465084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80728 (or 80712 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 319238465084 in words is "three hundred nineteen billion, two hundred thirty-eight million, four hundred sixty-five thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 263 308 343 526 539 686 1052 1078 1372 1841 2156 2893 3682 3773 5786 7364 7546 11572 12887 15092 20251 25774 40502 51548 80429 81004 90209 141757 160858 180418 283514 321716 360836 563003 567028 884719 992299 1126006 1769438 1984598 2252012 3538876 3941021 3969196 6193033 7882042 12386066 15764084 21152827 24772132 27587147 42305654 43351231 55174294 84611308 86702462 110348588 148069789 173404924 232681097 296139578 303458617 465362194 592279156 606917234 930724388 1036488523 1213834468 1628767679 2072977046 3257535358 4145954092 6515070716 7255419661 11401373753 14510839322 22802747506 29021678644 45605495012 79809616271 159619232542 319238465084