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1116660566660 = 225232891185893
BaseRepresentation
bin10000001111111110001…
…010000000101010000100
310221202021222212020122012
4100033332022000222010
5121243410101113120
62212553051153352
7143450614131122
oct20177612005204
93852258766565
101116660566660
113a0633862351
121604bb445858
13813ba674c42
143c09206a912
151e0a847a1c5
hex103fe280a84

1116660566660 has 72 divisors (see below), whose sum is σ = 2478921663960. Its totient is φ = 422443191808.

The previous prime is 1116660566597. The next prime is 1116660566663. The reversal of 1116660566660 is 666650666111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101064224836 + 1015596341824 = 317906^2 + 1007768^2 .

It is a super-2 number, since 2×11166605666602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1116660566599 and 1116660566608.

It is not an unprimeable number, because it can be changed into a prime (1116660566663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348674 + ... + 1534566.

It is an arithmetic number, because the mean of its divisors is an integer number (34429467555).

Almost surely, 21116660566660 is an apocalyptic number.

1116660566660 is a gapful number since it is divisible by the number (10) 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 1116660566660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239460831980).

1116660566660 is an abundant number, since it is smaller than the sum of its proper divisors (1362261097300).

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

1116660566660 is a wasteful number, since it uses less digits than its factorization.

1116660566660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186037 (or 1186012 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 1116660566660 in words is "one trillion, one hundred sixteen billion, six hundred sixty million, five hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 529 890 1058 1780 2047 2116 2645 4094 5290 8188 10235 10580 20470 40940 47081 94162 188324 235405 470810 941620 1185893 2371786 4743572 5929465 11858930 23717860 27275539 54551078 105544477 109102156 136377695 211088954 272755390 422177908 527722385 545510780 627337397 1055444770 1254674794 2110889540 2427522971 2509349588 3136686985 4855045942 6273373970 9710091884 12137614855 12546747940 24275229710 48550459420 55833028333 111666056666 223332113332 279165141665 558330283330 1116660566660