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16618113700 = 22521713771353
BaseRepresentation
bin11110111101000010…
…00100101010100100
31120220010220122101121
433132201010222210
5233013214114300
611344555503324
71125545431036
oct173641045244
946803818347
1016618113700
117058545871
123279457b44
13174ab54796
14b390b1c56
15673de081a
hex3de844aa4

16618113700 has 72 divisors (see below), whose sum is σ = 38461803912. Its totient is φ = 6210478080.

The previous prime is 16618113653. The next prime is 16618113719. The reversal of 16618113700 is 731181661.

It can be written as a sum of positive squares in 12 ways, for example, as 6512704 + 16611600996 = 2552^2 + 128886^2 .

It is a super-2 number, since 2×166181137002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197224 + ... + 268576.

It is an arithmetic number, because the mean of its divisors is an integer number (534191721).

Almost surely, 216618113700 is an apocalyptic number.

16618113700 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 16618113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230901956).

16618113700 is an abundant number, since it is smaller than the sum of its proper divisors (21843690212).

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

16618113700 is a wasteful number, since it uses less digits than its factorization.

16618113700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71521 (or 71514 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 16618113700 in words is "sixteen billion, six hundred eighteen million, one hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 170 274 340 425 548 685 850 1370 1700 2329 2740 3425 4658 6850 9316 11645 13700 23290 46580 58225 71353 116450 142706 232900 285412 356765 713530 1213001 1427060 1783825 2426002 3567650 4852004 6065005 7135300 9775361 12130010 19550722 24260020 30325025 39101444 48876805 60650050 97753610 121300100 166181137 195507220 244384025 332362274 488768050 664724548 830905685 977536100 1661811370 3323622740 4154528425 8309056850 16618113700