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116001065066616 = 23339752310586071
BaseRepresentation
bin11010011000000010011010…
…010001101110000001111000
3120012201121000200012022202000
4122120002122101232001320
5110201030140124112431
61050414053102541000
733301541350120362
oct3230023221560170
9505647020168660
10116001065066616
1133a638590a7994
1211015949b97760
134c95b131a0592
1420906a5377d32
15d626c1e309e6
hex69809a46e078

116001065066616 has 128 divisors (see below), whose sum is σ = 326169581606400. Its totient is φ = 38195218068480.

The previous prime is 116001065066611. The next prime is 116001065066651. The reversal of 116001065066616 is 616660560100611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116001065066611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664861 + ... + 16250931.

It is an arithmetic number, because the mean of its divisors is an integer number (2548199856300).

Almost surely, 2116001065066616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116001065066616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163084790803200).

116001065066616 is an abundant number, since it is smaller than the sum of its proper divisors (210168516539784).

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

116001065066616 is a wasteful number, since it uses less digits than its factorization.

116001065066616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586706 (or 10586696 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 116001065066616 in words is "one hundred sixteen trillion, one billion, sixty-five million, sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 523 582 776 873 1046 1164 1569 1746 2092 2328 2619 3138 3492 4184 4707 5238 6276 6984 9414 10476 12552 14121 18828 20952 28242 37656 50731 56484 101462 112968 152193 202924 304386 405848 456579 608772 913158 1217544 1369737 1826316 2739474 3652632 5478948 10586071 10957896 21172142 31758213 42344284 63516426 84688568 95274639 127032852 190549278 254065704 285823917 381098556 571647834 762197112 1026848887 1143295668 2053697774 2286591336 3080546661 4107395548 5536515133 6161093322 8214791096 9241639983 11073030266 12322186644 16609545399 18483279966 22146060532 24644373288 27724919949 33219090798 36966559932 44292121064 49828636197 55449839898 66438181596 73933119864 99657272394 110899679796 132876363192 149485908591 199314544788 221799359592 298971817182 398629089576 537041967901 597943634364 1074083935802 1195887268728 1611125903703 2148167871604 3222251807406 4296335743208 4833377711109 6444503614812 9666755422218 12889007229624 14500133133327 19333510844436 29000266266654 38667021688872 58000532533308 116001065066616