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542213346024 = 233271075820131
BaseRepresentation
bin1111110001111100110…
…11110001001011101000
31220211112210001212200200
413320332123301023220
532340423104033044
61053031145432200
754113360253120
oct7707633611350
91824483055620
10542213346024
11199a51331129
128910219b660
133c19092552c
141c359743c80
15e186ac1369
hex7e3e6f12e8

542213346024 has 48 divisors (see below), whose sum is σ = 1678279405920. Its totient is φ = 154918098720.

The previous prime is 542213345983. The next prime is 542213346113. The reversal of 542213346024 is 420643312245.

542213346024 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 13 + 34 + 602 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542213346024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537909562 + ... + 537910569.

It is an arithmetic number, because the mean of its divisors is an integer number (34964154290).

Almost surely, 2542213346024 is an apocalyptic number.

It is an amenable number.

542213346024 is an abundant number, since it is smaller than the sum of its proper divisors (1136066059896).

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

542213346024 is a wasteful number, since it uses less digits than its factorization.

542213346024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075820150 (or 1075820143 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 542213346024 its reverse (420643312245), we get a palindrome (962856658269).

The spelling of 542213346024 in words is "five hundred forty-two billion, two hundred thirteen million, three hundred forty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1075820131 2151640262 3227460393 4303280524 6454920786 7530740917 8606561048 9682381179 12909841572 15061481834 19364762358 22592222751 25819683144 30122963668 38729524716 45184445502 60245927336 67776668253 77459049432 90368891004 135553336506 180737782008 271106673012 542213346024