Search a number
-
+
538015117056 = 2834091712813
BaseRepresentation
bin1111101010001000011…
…00110010111100000000
31220102201012100202012220
413311010030302330000
532303323332221211
61051054415051040
753604342016404
oct7650414627400
91812635322186
10538015117056
1119819756460a
1288330210a80
133b971c19991
141c07bd4d104
15dedd241806
hex7d44332f00

538015117056 has 72 divisors (see below), whose sum is σ = 1435406644560. Its totient is φ = 178899787776.

The previous prime is 538015117021. The next prime is 538015117069. The reversal of 538015117056 is 650711510835.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 538015116999 and 538015117017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542295 + ... + 1170518.

Almost surely, 2538015117056 is an apocalyptic number.

It is an amenable number.

538015117056 is an abundant number, since it is smaller than the sum of its proper divisors (897391527504).

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

538015117056 is a wasteful number, since it uses less digits than its factorization.

538015117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713241 (or 1713227 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 538015117056 in words is "five hundred thirty-eight billion, fifteen million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 768 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 26176 39264 52352 78528 104704 157056 314112 1712813 3425626 5138439 6851252 10276878 13702504 20553756 27405008 41107512 54810016 82215024 109620032 164430048 219240064 328860096 438480128 657720192 700540517 1315440384 1401081034 2101621551 2802162068 4203243102 5604324136 8406486204 11208648272 16812972408 22417296544 33625944816 44834593088 67251889632 89669186176 134503779264 179338372352 269007558528 538015117056