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645504405546 = 2371113149371987
BaseRepresentation
bin10010110010010110000…
…11111001000000101010
32021201011022102100212210
421121023003321000222
541033443111434141
61212312435345550
764431125626260
oct11311303710052
92251138370783
10645504405546
11229836454a30
12a512a1522b6
1348b42206a70
14233578d4430
1511bcebe4916
hex964b0f902a

645504405546 has 128 divisors (see below), whose sum is σ = 1734567561216. Its totient is φ = 154660481280.

The previous prime is 645504405527. The next prime is 645504405547.

It is a happy number.

645504405546 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 645504405495 and 645504405504.

It is not an unprimeable number, because it can be changed into a prime (645504405547) 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 63 ways as a sum of consecutive naturals, for example, 8930965 + ... + 9002951.

It is an arithmetic number, because the mean of its divisors is an integer number (13551309072).

Almost surely, 2645504405546 is an apocalyptic number.

645504405546 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 645504405546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867283780608).

645504405546 is an abundant number, since it is smaller than the sum of its proper divisors (1089063155670).

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

645504405546 is a wasteful number, since it uses less digits than its factorization.

645504405546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73516.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 645504405546 in words is "six hundred forty-five billion, five hundred four million, four hundred five thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1493 2002 2986 3003 4479 6006 8958 10451 16423 19409 20902 31353 32846 38818 49269 58227 62706 71987 98538 114961 116454 135863 143974 213499 215961 229922 271726 344883 407589 426998 431922 503909 640497 689766 791857 815178 935831 1007818 1280994 1494493 1511727 1583714 1871662 2375571 2807493 2988986 3023454 4483479 4751142 5542999 5614986 6550817 8966958 10294141 11085998 13101634 16628997 19652451 20588282 30882423 33257994 39304902 61764846 72058987 107476591 144117974 214953182 216176961 322429773 432353922 644859546 752336137 1182242501 1397195683 1504672274 2257008411 2364485002 2794391366 3546727503 4191587049 4514016822 7093455006 8275697507 8383174098 9780369781 15369152513 16551395014 19560739562 24827092521 29341109343 30738305026 46107457539 49654185042 58682218686 92214915078 107584067591 215168135182 322752202773 645504405546