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542348361825 = 352419711316091
BaseRepresentation
bin1111110010001100111…
…10110100000001100001
31220211220012010101112220
413321012132310001201
532341212140034300
61053052411341253
754116620004154
oct7710636640141
91824805111486
10542348361825
1119a010569536
128913b451829
133c1b28a903a
141c36d64bc9b
15e193890da0
hex7e467b4061

542348361825 has 96 divisors (see below), whose sum is σ = 936293323392. Its totient is φ = 276799488000.

The previous prime is 542348361781. The next prime is 542348361833. The reversal of 542348361825 is 528163843245.

It is not a de Polignac number, because 542348361825 - 213 = 542348353633 is a prime.

It is a super-2 number, since 2×5423483618252 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 33697030 + ... + 33713120.

It is an arithmetic number, because the mean of its divisors is an integer number (9753055452).

Almost surely, 2542348361825 is an apocalyptic number.

It is an amenable number.

542348361825 is a deficient number, since it is larger than the sum of its proper divisors (393944961567).

542348361825 is a wasteful number, since it uses less digits than its factorization.

542348361825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16355 (or 16350 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 542348361825 in words is "five hundred forty-two billion, three hundred forty-eight million, three hundred sixty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 97 113 123 205 291 339 485 565 615 1025 1455 1695 2425 2825 3075 3977 4633 7275 8475 10961 11931 13899 16091 19885 23165 32883 48273 54805 59655 69495 80455 99425 115825 164415 241365 274025 298275 347475 402275 449401 659731 822075 1206825 1348203 1560827 1818283 1979193 2247005 3298655 4682481 5454849 6741015 7804135 9091415 9895965 11235025 16493275 23412405 27274245 33705075 39020675 45457075 49479825 63993907 74549603 117062025 136371225 176373451 191981721 223648809 319969535 372748015 529120353 881867255 959908605 1118244045 1599847675 1863740075 2645601765 4409336275 4799543025 5591220225 7231311491 13228008825 21693934473 36156557455 108469672365 180782787275 542348361825