Search a number
-
+
34133020500 = 22353120118947
BaseRepresentation
bin11111110010011111…
…001000111101010100
310021002210022002122110
4133302133020331110
51024401023124000
623402553031020
72315563613205
oct376237107524
9107083262573
1034133020500
1113526222557
1267470b5470
1332ac71c067
14191b3075ac
15d4b8c7850
hex7f27c8f54

34133020500 has 96 divisors (see below), whose sum is σ = 99483366528. Its totient is φ = 9094080000.

The previous prime is 34133020469. The next prime is 34133020517. The reversal of 34133020500 is 502033143.

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, 1792027 + ... + 1810973.

It is an arithmetic number, because the mean of its divisors is an integer number (1036285068).

Almost surely, 234133020500 is an apocalyptic number.

34133020500 is a gapful number since it is divisible by the number (30) 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 34133020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49741683264).

34133020500 is an abundant number, since it is smaller than the sum of its proper divisors (65350346028).

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

34133020500 is a wasteful number, since it uses less digits than its factorization.

34133020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20170 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 34133020500 its reverse (502033143), we get a palindrome (34635053643).

The spelling of 34133020500 in words is "thirty-four billion, one hundred thirty-three million, twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1201 1500 2402 3603 4804 6005 7206 12010 14412 18015 18947 24020 30025 36030 37894 56841 60050 72060 75788 90075 94735 113682 120100 150125 180150 189470 227364 284205 300250 360300 378940 450375 473675 568410 600500 900750 947350 1136820 1421025 1801500 1894700 2368375 2842050 4736750 5684100 7105125 9473500 14210250 22755347 28420500 45510694 68266041 91021388 113776735 136532082 227553470 273064164 341330205 455106940 568883675 682660410 1137767350 1365320820 1706651025 2275534700 2844418375 3413302050 5688836750 6826604100 8533255125 11377673500 17066510250 34133020500