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2116301636016 = 243271792620171
BaseRepresentation
bin11110110010111101011…
…010000100000110110000
321111022112200220002211200
4132302331122010012300
5234133141204323031
64300114320411200
7305616633046131
oct36627532040660
97438480802750
102116301636016
11746578113347
122a21a1176b00
1312474947b689
147460295dc88
153a0b34418e6
hex1ecbd6841b0

2116301636016 has 120 divisors (see below), whose sum is σ = 6082152860160. Its totient is φ = 686694153600.

The previous prime is 2116301636011. The next prime is 2116301636017. The reversal of 2116301636016 is 6106361036112.

2116301636016 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 3 + 0 + 1 + 636 + 0 + 16 = 666.

It is a super-2 number, since 2×21163016360162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2116301636011) 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, 502390 + ... + 2117781.

It is an arithmetic number, because the mean of its divisors is an integer number (50684607168).

Almost surely, 22116301636016 is an apocalyptic number.

It is an amenable number.

2116301636016 is an abundant number, since it is smaller than the sum of its proper divisors (3965851224144).

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

2116301636016 is a wasteful number, since it uses less digits than its factorization.

2116301636016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620335 (or 2620326 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 2116301636016 in words is "two trillion, one hundred sixteen billion, three hundred one million, six hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 79 142 144 158 213 237 284 316 426 474 568 632 639 711 852 948 1136 1264 1278 1422 1704 1896 2556 2844 3408 3792 5112 5609 5688 10224 11218 11376 16827 22436 33654 44872 50481 67308 89744 100962 134616 201924 269232 403848 807696 2620171 5240342 7860513 10480684 15721026 20961368 23581539 31442052 41922736 47163078 62884104 94326156 125768208 186032141 188652312 206993509 372064282 377304624 413987018 558096423 620980527 744128564 827974036 1116192846 1241961054 1488257128 1655948072 1674289269 1862941581 2232385692 2483922108 2976514256 3311896144 3348578538 3725883162 4464771384 4967844216 6697157076 7451766324 8929542768 9935688432 13394314152 14696539139 14903532648 26788628304 29393078278 29807065296 44089617417 58786156556 88179234834 117572313112 132268852251 176358469668 235144626224 264537704502 352716939336 529075409004 705433878672 1058150818008 2116301636016