Search a number
-
+
506013533361 = 327231097318337
BaseRepresentation
bin1110101110100001100…
…00011100010010110001
31210101002221201212012100
413113100300130102301
531242303431031421
61024243122051013
751362326031520
oct7272060342261
91711087655170
10506013533361
111856654a2086
128209aaa9a69
1338941c7473b
141a6c3b564b7
15d268a40c26
hex75d0c1c4b1

506013533361 has 48 divisors (see below), whose sum is σ = 872439669504. Its totient is φ = 276325834752.

The previous prime is 506013533359. The next prime is 506013533393. The reversal of 506013533361 is 163335310605.

506013533361 is a `hidden beast` number, since 5 + 0 + 60 + 1 + 3 + 533 + 3 + 61 = 666.

It is not a de Polignac number, because 506013533361 - 21 = 506013533359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506013533561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1430385 + ... + 1748721.

It is an arithmetic number, because the mean of its divisors is an integer number (18175826448).

Almost surely, 2506013533361 is an apocalyptic number.

It is an amenable number.

506013533361 is a deficient number, since it is larger than the sum of its proper divisors (366426136143).

506013533361 is a wasteful number, since it uses less digits than its factorization.

506013533361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319470 (or 319467 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 506013533361 its reverse (163335310605), we get a palindrome (669348843966).

The spelling of 506013533361 in words is "five hundred six billion, thirteen million, five hundred thirty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1097 1449 3291 7679 9873 23037 25231 69111 75693 176617 227079 318337 529851 955011 1589553 2228359 2865033 6685077 7321751 20055231 21965253 51252257 65895759 153756771 349215689 461270313 1047647067 2444509823 3142941201 7333529469 8031960847 22000588407 24095882541 56223725929 72287647623 168671177787 506013533361