Search a number
-
+
1643536332340 = 225767887197539
BaseRepresentation
bin10111111010101010011…
…001100011011000110100
312211010020212120022110121
4113322222121203120310
5203411430300113330
63255010303301324
7226512235215460
oct27725231433064
95733225508417
101643536332340
1158402445a341
12226640baa844
13bbca5826236
14597947d34a0
152cb437a317a
hex17eaa663634

1643536332340 has 96 divisors (see below), whose sum is σ = 4007893800960. Its totient is φ = 554459140224.

The previous prime is 1643536332331. The next prime is 1643536332359. The reversal of 1643536332340 is 432336353461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8221291 + ... + 8418829.

It is an arithmetic number, because the mean of its divisors is an integer number (41748893760).

Almost surely, 21643536332340 is an apocalyptic number.

1643536332340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643536332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003946900480).

1643536332340 is an abundant number, since it is smaller than the sum of its proper divisors (2364357468620).

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

1643536332340 is a wasteful number, since it uses less digits than its factorization.

1643536332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198509 (or 198507 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 43.

The spelling of 1643536332340 in words is "one trillion, six hundred forty-three billion, five hundred thirty-six million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 887 938 1340 1774 1876 2345 3548 4435 4690 6209 8870 9380 12418 17740 24836 31045 59429 62090 118858 124180 197539 237716 297145 395078 416003 594290 790156 832006 987695 1188580 1382773 1664012 1975390 2080015 2765546 3950780 4160030 5531092 6913865 8320060 13235113 13827730 26470226 27655460 52940452 66175565 92645791 132351130 175217093 185291582 264702260 350434186 370583164 463228955 700868372 876085465 926457910 1226519651 1752170930 1852915820 2453039302 3504341860 4906078604 6132598255 11739545231 12265196510 23479090462 24530393020 46958180924 58697726155 82176816617 117395452310 164353633234 234790904620 328707266468 410884083085 821768166170 1643536332340