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542330260512 = 253231307187927
BaseRepresentation
bin1111110010001010110…
…01110000110000100000
31220211211221001202012220
413321011121300300200
532341143021314022
61053050523351040
754116310103515
oct7710531606040
91824757052186
10542330260512
1119a001325777
1289135382480
133c1abc0bbc1
141c36b09930c
15e191eb785c
hex7e45670c20

542330260512 has 96 divisors (see below), whose sum is σ = 1486657815552. Its totient is φ = 172783674624.

The previous prime is 542330260469. The next prime is 542330260529. The reversal of 542330260512 is 215062033245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5423302605122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791893 + ... + 2979819.

It is an arithmetic number, because the mean of its divisors is an integer number (15486018912).

Almost surely, 2542330260512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542330260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743328907776).

542330260512 is an abundant number, since it is smaller than the sum of its proper divisors (944327555040).

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

542330260512 is a wasteful number, since it uses less digits than its factorization.

542330260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189270 (or 189262 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 542330260512 its reverse (215062033245), we get a palindrome (757392293757).

The spelling of 542330260512 in words is "five hundred forty-two billion, three hundred thirty million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1307 2208 2614 3921 5228 7842 10456 15684 20912 30061 31368 41824 60122 62736 90183 120244 125472 180366 187927 240488 360732 375854 480976 563781 721464 751708 961952 1127562 1442928 1503416 2255124 2885856 3006832 4322321 4510248 6013664 8644642 9020496 12966963 17289284 18040992 25933926 34578568 51867852 69157136 103735704 138314272 207471408 245620589 414942816 491241178 736861767 982482356 1473723534 1964964712 2947447068 3929929424 5649273547 5894894136 7859858848 11298547094 11789788272 16947820641 22597094188 23579576544 33895641282 45194188376 67791282564 90388376752 135582565128 180776753504 271165130256 542330260512