Search a number
-
+
49933584336 = 2434724191841
BaseRepresentation
bin101110100000010001…
…100000011111010000
311202212221211220110110
4232200101200133100
51304230444144321
634534510001320
73415254315036
oct564021403720
9152787756413
1049933584336
111a1a422aa79
1298167a6240
13492a08780c
1425b99a2556
151473b26176
hexba04607d0

49933584336 has 80 divisors (see below), whose sum is σ = 132287747328. Its totient is φ = 16222617600.

The previous prime is 49933584313. The next prime is 49933584413. The reversal of 49933584336 is 63348533994.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497776 + ... + 589616.

Almost surely, 249933584336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49933584336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66143873664).

49933584336 is an abundant number, since it is smaller than the sum of its proper divisors (82354162992).

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

49933584336 is a wasteful number, since it uses less digits than its factorization.

49933584336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92140 (or 92134 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 57.

The spelling of 49933584336 in words is "forty-nine billion, nine hundred thirty-three million, five hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 241 282 376 482 564 723 752 964 1128 1446 1928 2256 2892 3856 5784 11327 11568 22654 33981 45308 67962 90616 91841 135924 181232 183682 271848 275523 367364 543696 551046 734728 1102092 1469456 2204184 4316527 4408368 8633054 12949581 17266108 22133681 25899162 34532216 44267362 51798324 66401043 69064432 88534724 103596648 132802086 177069448 207193296 265604172 354138896 531208344 1040283007 1062416688 2080566014 3120849021 4161132028 6241698042 8322264056 12483396084 16644528112 24966792168 49933584336