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663549945366 = 237112466328001
BaseRepresentation
bin10011010011111101010…
…10001010011000010110
32100102201221021202210110
421221332222022120112
541332422241222431
61224455230103450
765640246321450
oct11517652123026
92312657252713
10663549945366
11236456711100
12a872564ab86
134a7599c0589
142418a3b72d0
15123d9096346
hex9a7ea8a616

663549945366 has 96 divisors (see below), whose sum is σ = 1667517755904. Its totient is φ = 172307520000.

The previous prime is 663549945239. The next prime is 663549945379.

663549945366 is nontrivially palindromic in base 10.

663549945366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 663549945297 and 663549945306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23683366 + ... + 23711366.

It is an arithmetic number, because the mean of its divisors is an integer number (17369976624).

Almost surely, 2663549945366 is an apocalyptic number.

663549945366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 663549945366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833758877952).

663549945366 is an abundant number, since it is smaller than the sum of its proper divisors (1003967810538).

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

663549945366 is a wasteful number, since it uses less digits than its factorization.

663549945366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32698 (or 32687 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 66.

The spelling of 663549945366 in words is "six hundred sixty-three billion, five hundred forty-nine million, nine hundred forty-five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 4663 5082 9326 13989 27978 28001 32641 51293 56002 65282 84003 97923 102586 153879 168006 195846 196007 307758 308011 359051 392014 564223 588021 616022 718102 924033 1077153 1128446 1176042 1692669 1848066 2154306 2156077 3385338 3388121 3949561 4312154 6468231 6776242 7899122 10164363 11848683 12936462 20328726 23697366 23716847 47433694 71150541 130568663 142301082 261137326 391705989 783411978 913980641 1436255293 1827961282 2741941923 2872510586 4308765879 5483883846 8617531758 10053787051 15798808223 20107574102 30161361153 31597616446 47396424669 60322722306 94792849338 110591657561 221183315122 331774972683 663549945366