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1660005352016 = 241121754779209
BaseRepresentation
bin11000001010000000000…
…001111000001001010000
312212200202121221012022022
4120022000001320021100
5204144142332231031
63310332415431012
7230634323452214
oct30120001701120
95780677835268
101660005352016
11590005821600
12229878525468
13c06cb8082ab
145a4b7b74944
152d2a954297b
hex18280078250

1660005352016 has 120 divisors (see below), whose sum is σ = 3744272929320. Its totient is φ = 709955952640.

The previous prime is 1660005352001. The next prime is 1660005352051. The reversal of 1660005352016 is 6102535000661.

It can be written as a sum of positive squares in 4 ways, for example, as 733599102016 + 926406250000 = 856504^2 + 962500^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180254420 + ... + 180263628.

It is an arithmetic number, because the mean of its divisors is an integer number (31202274411).

Almost surely, 21660005352016 is an apocalyptic number.

1660005352016 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 1660005352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872136464660).

1660005352016 is an abundant number, since it is smaller than the sum of its proper divisors (2084267577304).

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

1660005352016 is a wasteful number, since it uses less digits than its factorization.

1660005352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 1660005352016 in words is "one trillion, six hundred sixty billion, five million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 5477 8228 9209 10954 16456 18418 21908 32912 36836 43816 60247 73672 87632 93109 101299 120494 147344 156553 186218 202598 240988 313106 372436 405196 481976 626212 662717 744872 810392 963952 1024199 1114289 1252424 1325434 1489744 1620784 1722083 2048398 2228578 2504848 2650868 3444166 4096796 4457156 5301736 6888332 8193592 8914312 10603472 11266189 13776664 16387184 17828624 18942913 22532378 27553328 37885826 45064756 50437693 75771652 90129512 100875386 151543304 180259024 201750772 303086608 403501544 554814623 807003088 857440781 1109629246 1714881562 2219258492 3429763124 4438516984 6102960853 6859526248 8877033968 9431848591 12205921706 13719052496 18863697182 24411843412 37727394364 48823686824 75454788728 97647373648 103750334501 150909577456 207500669002 415001338004 830002676008 1660005352016