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16302401056 = 2517167311577
BaseRepresentation
bin11110010111011001…
…01110011000100000
31120002010211210001201
433023230232120200
5231341403313211
611253401010544
71114663060024
oct171354563040
946063753051
1016302401056
116a0630a227
1231ab783a54
1316ca614b76
14b091ac384
1565632b0c1
hex3cbb2e620

16302401056 has 96 divisors (see below), whose sum is σ = 34356172032. Its totient is φ = 7588085760.

The previous prime is 16302401051. The next prime is 16302401111. The reversal of 16302401056 is 65010420361.

16302401056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16302401051) by changing a digit.

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, 28253440 + ... + 28254016.

It is an arithmetic number, because the mean of its divisors is an integer number (357876792).

Almost surely, 216302401056 is an apocalyptic number.

16302401056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16302401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178086016).

16302401056 is an abundant number, since it is smaller than the sum of its proper divisors (18053770976).

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

16302401056 is a wasteful number, since it uses less digits than its factorization.

16302401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 16302401056 in words is "sixteen billion, three hundred two million, four hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 167 272 311 334 544 577 622 668 1154 1244 1336 2308 2488 2672 2839 4616 4976 5287 5344 5678 9232 9809 9952 10574 11356 18464 19618 21148 22712 39236 42296 45424 51937 78472 84592 90848 96359 103874 156944 169184 179447 192718 207748 313888 358894 385436 415496 717788 770872 830992 882929 1435576 1541744 1638103 1661984 1765858 2871152 3050599 3083488 3276206 3531716 5742304 6101198 6552412 7063432 12202396 13104824 14126864 24404792 26209648 28253728 29967649 48809584 52419296 59935298 97619168 119870596 239741192 479482384 509450033 958964768 1018900066 2037800132 4075600264 8151200528 16302401056