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54002531330432 = 271171501171899
BaseRepresentation
bin11000100011101011100011…
…01100100110100110000000
321002012120222020222212121222
430101311301230212212000
524034234141010033212
6310504230450334212
714242361032402316
oct1421656154464600
9232176866885558
1054002531330432
1116230388102783
12608207658a368
132419555a9a569
14d49a44bd20b6
15639ae2e83c72
hex311d71b26980

54002531330432 has 64 divisors (see below), whose sum is σ = 107698026408000. Its totient is φ = 26972448422400.

The previous prime is 54002531330431. The next prime is 54002531330497. The reversal of 54002531330432 is 23403313520045.

54002531330432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 54002531330392 and 54002531330401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54002531330431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751052819 + ... + 751124717.

It is an arithmetic number, because the mean of its divisors is an integer number (1682781662625).

Almost surely, 254002531330432 is an apocalyptic number.

It is an amenable number.

54002531330432 is a deficient number, since it is larger than the sum of its proper divisors (53695495077568).

54002531330432 is a wasteful number, since it uses less digits than its factorization.

54002531330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78095 (or 78083 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 54002531330432 its reverse (23403313520045), we get a palindrome (77405844850477).

The spelling of 54002531330432 in words is "fifty-four trillion, two billion, five hundred thirty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1171 2342 4684 5011 9368 10022 18736 20044 37472 40088 71899 74944 80176 143798 149888 160352 287596 320704 575192 641408 1150384 2300768 4601536 5867881 9203072 11735762 23471524 46943048 84193729 93886096 168387458 187772192 336774916 360285889 375544384 673549832 720571778 751088768 1347099664 1441143556 2694199328 2882287112 5388398656 5764574224 10776797312 11529148448 23058296896 46116593792 421894776019 843789552038 1687579104076 3375158208152 6750316416304 13500632832608 27001265665216 54002531330432