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645633341163 = 333117327116453
BaseRepresentation
bin10010110010100101011…
…11101111011011101011
32021201111022000222022000
421121102233233123223
541034224113404123
61212333323102043
764434252564666
oct11312257573353
92251438028260
10645633341163
112298a220a198
12a5165371923
1348b62b3bc25
142336aa986dd
1511bdb1b2b43
hex9652bef6eb

645633341163 has 64 divisors (see below), whose sum is σ = 996780687360. Its totient is φ = 412576675200.

The previous prime is 645633341147. The next prime is 645633341179. The reversal of 645633341163 is 361143336546.

It is a happy number.

645633341163 is a `hidden beast` number, since 6 + 4 + 5 + 633 + 3 + 4 + 1 + 1 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (645633341147) and next prime (645633341179).

It is not a de Polignac number, because 645633341163 - 24 = 645633341147 is a prime.

It is a super-2 number, since 2×6456333411632 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (645633341663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39232845 + ... + 39249297.

It is an arithmetic number, because the mean of its divisors is an integer number (15574698240).

Almost surely, 2645633341163 is an apocalyptic number.

645633341163 is a deficient number, since it is larger than the sum of its proper divisors (351147346197).

645633341163 is a wasteful number, since it uses less digits than its factorization.

645633341163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937 (or 16931 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 645633341163 in words is "six hundred forty-five billion, six hundred thirty-three million, three hundred forty-one thousand, one hundred sixty-three".

Divisors: 1 3 9 27 31 93 173 271 279 519 813 837 1557 2439 4671 5363 7317 8401 16089 16453 25203 46883 48267 49359 75609 140649 144801 148077 226827 421947 444231 510043 1265841 1453373 1530129 2846369 4360119 4458763 4590387 8539107 13080357 13376289 13771161 25617321 39241071 40128867 76851963 88237439 120386601 138221653 264712317 414664959 771365999 794136951 1243994877 2314097997 2382410853 3731984631 6942293991 20826881973 23912345969 71737037907 215211113721 645633341163