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542450166240 = 25351130104513
BaseRepresentation
bin1111110010011001000…
…11001010100111100000
31220212011021200120221210
413321030203022213200
532341414220304430
61053110445350120
754122264223063
oct7711443124740
91825137616853
10542450166240
1119a062a82714
1289169568340
133c1caa01c38
141c37cd8c8da
15e19c7a02b0
hex7e4c8ca9e0

542450166240 has 48 divisors (see below), whose sum is σ = 1708718025168. Its totient is φ = 144653377536.

The previous prime is 542450166227. The next prime is 542450166281. The reversal of 542450166240 is 42661054245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 565051777 + ... + 565052736.

It is an arithmetic number, because the mean of its divisors is an integer number (35598292191).

Almost surely, 2542450166240 is an apocalyptic number.

It is an amenable number.

542450166240 is an abundant number, since it is smaller than the sum of its proper divisors (1166267858928).

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

542450166240 is a wasteful number, since it uses less digits than its factorization.

542450166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130104531 (or 1130104523 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 542450166240 in words is "five hundred forty-two billion, four hundred fifty million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1130104513 2260209026 3390313539 4520418052 5650522565 6780627078 9040836104 11301045130 13561254156 16951567695 18081672208 22602090260 27122508312 33903135390 36163344416 45204180520 54245016624 67806270780 90408361040 108490033248 135612541560 180816722080 271225083120 542450166240