Search a number
-
+
542052530562042 = 23338977173343871
BaseRepresentation
bin111101100111111100111000…
…0100010001010001111111010
32122002020201022211212112212000
41323033321300202022033322
51032021442040310441132
65200503254515201430
7222114001010110233
oct17317716042121772
92562221284775760
10542052530562042
11147795207249465
12509654b38a6276
131a35c446602706
1497bd6a7c4008a
1542a006c20387c
hex1ecfe7088a3fa

542052530562042 has 64 divisors (see below), whose sum is σ = 1207814591692800. Its totient is φ = 180196285625280.

The previous prime is 542052530562041. The next prime is 542052530562047. The reversal of 542052530562042 is 240265035250245.

It is a happy number.

542052530562042 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 5 + 2 + 530 + 56 + 20 + 42 = 666.

It is a super-2 number, since 2×5420525305620422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542052530562041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160431367 + ... + 163775237.

It is an arithmetic number, because the mean of its divisors is an integer number (18872102995200).

Almost surely, 2542052530562042 is an apocalyptic number.

542052530562042 is an abundant number, since it is smaller than the sum of its proper divisors (665762061130758).

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

542052530562042 is a wasteful number, since it uses less digits than its factorization.

542052530562042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351988 (or 3351982 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 542052530562042 in words is "five hundred forty-two trillion, fifty-two billion, five hundred thirty million, five hundred sixty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 389 778 1167 2334 3501 7002 7717 10503 15434 21006 23151 46302 69453 138906 208359 416718 3001913 3343871 6003826 6687742 9005739 10031613 18011478 20063226 27017217 30094839 54034434 60189678 81051651 90284517 162103302 180569034 1300765819 2601531638 3902297457 7804594914 11706892371 23413784742 25804652507 35120677113 51609305014 70241354226 77413957521 154827915042 232241872563 464483745126 696725617689 1393451235378 10038009825223 20076019650446 30114029475669 60228058951338 90342088427007 180684176854014 271026265281021 542052530562042