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66144244166 = 2731121361297
BaseRepresentation
bin111101100110100000…
…010001000111000110
320022201201001202012222
4331212200101013012
52040430411303131
650215232412342
74531054541000
oct754640210706
9208651052188
1066144244166
1126062779700
121099b6a70b2
13631168b020
1432b68cd370
151ac1d7e87b
hexf668111c6

66144244166 has 96 divisors (see below), whose sum is σ = 136964251200. Its totient is φ = 23787751680.

The previous prime is 66144244151. The next prime is 66144244193.

66144244166 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×661442441662 (a number of 22 digits) contains 22 as substring.

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, 1048430 + ... + 1109726.

It is an arithmetic number, because the mean of its divisors is an integer number (1426710950).

Almost surely, 266144244166 is an apocalyptic number.

66144244166 is an abundant number, since it is smaller than the sum of its proper divisors (70820007034).

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

66144244166 is a wasteful number, since it uses less digits than its factorization.

66144244166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61355 (or 61330 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 66144244166 in words is "sixty-six billion, one hundred forty-four million, two hundred forty-four thousand, one hundred sixty-six".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 182 242 286 343 539 637 686 847 1001 1078 1274 1573 1694 2002 3146 3773 4459 5929 7007 7546 8918 11011 11858 14014 22022 41503 49049 61297 77077 83006 98098 122594 154154 429079 539539 674267 796861 858158 1079078 1348534 1593722 3003553 4719869 5578027 6007106 7416937 8765471 9439738 11156054 14833874 17530942 21024871 33039083 39046189 42049742 51918559 61358297 66078166 78092378 96420181 103837118 122716594 192840362 231273581 273323323 363429913 429508079 462547162 546646646 674941267 726859826 859016158 1349882534 2544009391 3006556553 4724588869 5088018782 6013113106 9449177738 33072122083 66144244166