Search a number
-
+
48212314416037 = 17192989283204353
BaseRepresentation
bin10101111011001010011011…
…10111111110001110100101
320022201001102002100020202001
422331211031313332032211
522304402304442303122
6250312233111045301
713104140044604452
oct1275451567761645
9208631362306661
1048212314416037
11143a8800660542
1254a7a52670831
1320b952b819ca5
14bc96ba500829
155891a6282527
hex2bd94ddfe3a5

48212314416037 has 64 divisors (see below), whose sum is σ = 56411512992000. Its totient is φ = 40894150606848.

The previous prime is 48212314416029. The next prime is 48212314416067. The reversal of 48212314416037 is 73061441321284.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 48212314416037 - 23 = 48212314416029 is a prime.

It is a super-2 number, since 2×482123144160372 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48212314416067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235824453 + ... + 236028805.

It is an arithmetic number, because the mean of its divisors is an integer number (881429890500).

Almost surely, 248212314416037 is an apocalyptic number.

It is an amenable number.

48212314416037 is a deficient number, since it is larger than the sum of its proper divisors (8199198575963).

48212314416037 is a wasteful number, since it uses less digits than its factorization.

48212314416037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204790.

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 48212314416037 in words is "forty-eight trillion, two hundred twelve billion, three hundred fourteen million, four hundred sixteen thousand, thirty-seven".

Divisors: 1 17 19 29 89 283 323 493 551 1513 1691 2581 4811 5377 8207 9367 25187 28747 43877 49039 91409 139519 155933 204353 428179 478553 730423 833663 2650861 3474001 3882707 5926237 8135401 12417191 13878037 18187417 57831899 66006019 100746029 112598503 235926629 309186089 345560923 527435093 983142283 1098806081 1677125071 1914174551 5147039011 5874535691 8966396581 10021266767 18679703377 28511126207 31865376349 87499663187 97793741209 149264131319 170361535039 541711397933 1662493600553 2537490232423 2836018495061 48212314416037