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57427232314016 = 2519211443434431
BaseRepresentation
bin11010000111010110100011…
…10010000101001010100000
321112022222201120002111110202
431003223101302011022200
530011341432433022031
6322045412322044332
715044660231430005
oct1503532162051240
9245288646074422
1057427232314016
1117330830575374
126535947aa96a8
132607498529ac6
1410276c86398ac
15698c328cb2cb
hex343ad1c852a0

57427232314016 has 72 divisors (see below), whose sum is σ = 119334270311424. Its totient is φ = 27199933384320.

The previous prime is 57427232313961. The next prime is 57427232314019. The reversal of 57427232314016 is 61041323272475.

It is a super-2 number, since 2×574272323140162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57427232314019) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 131972321 + ... + 132406751.

It is an arithmetic number, because the mean of its divisors is an integer number (1657420420992).

Almost surely, 257427232314016 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 57427232314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59667135155712).

57427232314016 is an abundant number, since it is smaller than the sum of its proper divisors (61907037997408).

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

57427232314016 is a wasteful number, since it uses less digits than its factorization.

57427232314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445922 (or 445895 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 57427232314016 in words is "fifty-seven trillion, four hundred twenty-seven billion, two hundred thirty-two million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11443 11552 22886 45772 91544 183088 217417 366176 434431 434834 868862 869668 1737724 1739336 3475448 3478672 4130923 6950896 6957344 8254189 8261846 13901792 16508378 16523692 33016756 33047384 66033512 66094768 132067024 132189536 156829591 264134048 313659182 627318364 1254636728 2509273456 4971193933 5018546912 9942387866 19884775732 39769551464 79539102928 94452684727 159078205856 188905369454 377810738908 755621477816 1511242955632 1794601009813 3022485911264 3589202019626 7178404039252 14356808078504 28713616157008 57427232314016