Search a number
-
+
34503805512036 = 223472466192
BaseRepresentation
bin1111101100001100010110…
…00100100010100101100100
311112011112100112100012210000
413312012023010202211210
514010302243202341121
6201214455053501300
710160550315526200
oct766061304424544
9145145315305700
1034503805512036
11aaa2a88776693
123a5309a7a1830
1316339058cca03
14873dc90b7b00
153ec7caa21526
hex1f618b122964

34503805512036 has 135 divisors (see below), whose sum is σ = 104928505888899. Its totient is φ = 9858018682512.

The previous prime is 34503805511993. The next prime is 34503805512037. The reversal of 34503805512036 is 63021550830543.

The square root of 34503805512036 is 5873994.

It is a perfect power (a square), and thus also a powerful number.

34503805512036 is a `hidden beast` number, since 3 + 4 + 50 + 3 + 80 + 5 + 512 + 0 + 3 + 6 = 666.

It is a super-2 number, since 2×345038055120362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34503805511982 and 34503805512000.

It is not an unprimeable number, because it can be changed into a prime (34503805512037) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 740099935 + ... + 740146553.

Almost surely, 234503805512036 is an apocalyptic number.

34503805512036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34503805512036 is the 5873994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34503805512036

34503805512036 is an abundant number, since it is smaller than the sum of its proper divisors (70424700376863).

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

34503805512036 is an frugal number, since it uses more digits than its factorization.

34503805512036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93268 (or 46631 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 34503805512036 in words is "thirty-four trillion, five hundred three billion, eight hundred five million, five hundred twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 46619 93238 139857 186476 279714 326333 419571 559428 652666 839142 978999 1258713 1305332 1678284 1957998 2284331 2517426 2936997 3776139 3915996 4568662 5034852 5873994 6852993 7552278 8810991 9137324 11747988 13705986 15104556 17621982 20558979 26432973 27411972 35243964 41117958 52865946 61676937 82235916 105731892 123353874 185030811 246707748 370061622 740123244 2173331161 4346662322 6519993483 8693324644 13039986966 15213318127 19559980449 26079973932 30426636254 39119960898 45639954381 58679941347 60853272508 78239921796 91279908762 106493226889 117359882694 136919863143 176039824041 182559817524 212986453778 234719765388 273839726286 319479680667 352079648082 410759589429 425972907556 547679452572 638959361334 704159296164 821519178858 958439042001 1232278768287 1277918722668 1643038357716 1916878084002 2464557536574 2875317126003 3833756168004 4929115073148 5750634252006 8625951378009 11501268504012 17251902756018 34503805512036