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542160306252 = 2232131701163997
BaseRepresentation
bin1111110001110110100…
…01011100000001001100
31220211102002021011210200
413320323101130001030
532340321014300002
61053022012533500
754112144365165
oct7707321340114
91824362234720
10542160306252
11199a243a4604
12890a8481290
133c182944656
141c35269876c
15e1820e5b1c
hex7e3b45c04c

542160306252 has 72 divisors (see below), whose sum is σ = 1382900671152. Its totient is φ = 179083632000.

The previous prime is 542160306229. The next prime is 542160306263. The reversal of 542160306252 is 252603061245.

542160306252 is a `hidden beast` number, since 5 + 4 + 21 + 6 + 0 + 3 + 0 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223918 + ... + 3387914.

It is an arithmetic number, because the mean of its divisors is an integer number (19206953766).

Almost surely, 2542160306252 is an apocalyptic number.

It is an amenable number.

542160306252 is an abundant number, since it is smaller than the sum of its proper divisors (840740364900).

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

542160306252 is a wasteful number, since it uses less digits than its factorization.

542160306252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164839 (or 164834 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 542160306252 its reverse (252603061245), we get a palindrome (794763367497).

The spelling of 542160306252 in words is "five hundred forty-two billion, one hundred sixty million, three hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 701 786 1179 1402 1572 2103 2358 2804 4206 4716 6309 8412 12618 25236 91831 163997 183662 275493 327994 367324 491991 550986 655988 826479 983982 1101972 1475973 1652958 1967964 2951946 3305916 5903892 21483607 42967214 64450821 85934428 114961897 128901642 193352463 229923794 257803284 344885691 386704926 459847588 689771382 773409852 1034657073 1379542764 2069314146 4138628292 15060008507 30120017014 45180025521 60240034028 90360051042 135540076563 180720102084 271080153126 542160306252