Search a number
-
+
34693980202182 = 2372324993312743
BaseRepresentation
bin1111110001101110100100…
…10111011010010011000110
311112211201020010120102222110
413320313102113122103012
514021411232412432212
6201442110001241450
710210362112653030
oct770672227322306
9145751203512873
1034693980202182
11100666a83990a4
123a83b13933286
131648822496772
1487d2aa30ac50
1540270b5e2a3c
hex1f8dd25da4c6

34693980202182 has 96 divisors (see below), whose sum is σ = 82915149639168. Its totient is φ = 9479655364608.

The previous prime is 34693980202169. The next prime is 34693980202207. The reversal of 34693980202182 is 28120208939643.

It is a super-2 number, since 2×346939802021822 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110778103 + ... + 111090845.

It is an arithmetic number, because the mean of its divisors is an integer number (863699475408).

Almost surely, 234693980202182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34693980202182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41457574819584).

34693980202182 is an abundant number, since it is smaller than the sum of its proper divisors (48221169436986).

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

34693980202182 is a wasteful number, since it uses less digits than its factorization.

34693980202182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317794 (or 317771 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 34693980202182 in words is "thirty-four trillion, six hundred ninety-three billion, nine hundred eighty million, two hundred two thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 3174 3703 4993 7406 9986 11109 14979 22218 29958 34951 69902 104853 114839 209706 229678 312743 344517 625486 689034 803873 938229 1607746 1876458 2189201 2411619 2641297 4378402 4823238 5282594 6567603 7193089 7923891 13135206 14386178 15847782 18489079 21579267 36978158 43158534 50351623 55467237 100703246 110934474 151054869 165441047 302109738 330882094 496323141 992646282 1158087329 1561525799 2316174658 3123051598 3474261987 4684577397 6948523974 9369154794 10930680593 21861361186 32792041779 35915093377 65584083558 71830186754 107745280131 215490560262 251405653639 502811307278 754216960917 826047147671 1508433921834 1652094295342 2478141443013 4956282886026 5782330033697 11564660067394 17346990101091 34693980202182