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115845337428051 = 37111937219280111
BaseRepresentation
bin11010010101110001011000…
…001011111011000001010011
3120012011201001202011121211210
4122111301120023323001103
5110141002222340144201
61050214340251111203
733254356312045410
oct3225613013730123
9505151052147753
10115845337428051
1133a03805995150
1210bab729142503
134c842260c6c9a
142086d31035107
15d5d60a5b81d6
hex695c582fb053

115845337428051 has 96 divisors (see below), whose sum is σ = 208336263045120. Its totient is φ = 55471190083200.

The previous prime is 115845337428047. The next prime is 115845337428059. The reversal of 115845337428051 is 150824733548511.

It is not a de Polignac number, because 115845337428051 - 22 = 115845337428047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 115845337427982 and 115845337428000.

It is not an unprimeable number, because it can be changed into a prime (115845337428059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3631515 + ... + 15648596.

It is an arithmetic number, because the mean of its divisors is an integer number (2170169406720).

Almost surely, 2115845337428051 is an apocalyptic number.

115845337428051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115845337428051 is a deficient number, since it is larger than the sum of its proper divisors (92490925617069).

115845337428051 is a wasteful number, since it uses less digits than its factorization.

115845337428051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19280225 (or 19280188 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 115845337428051 in words is "one hundred fifteen trillion, eight hundred forty-five billion, three hundred thirty-seven million, four hundred twenty-eight thousand, fifty-one".

Divisors: 1 3 7 11 19 21 33 37 57 77 111 133 209 231 259 399 407 627 703 777 1221 1369 1463 2109 2849 4107 4389 4921 7733 8547 9583 14763 15059 23199 26011 28749 45177 54131 78033 105413 162393 182077 286121 316239 546231 858363 2002847 6008541 19280111 57840333 134960777 212081221 366322109 404882331 636243663 713364107 1098966327 1484568547 2140092321 2564254763 4029543199 4453705641 4993548749 7692764289 7847005177 12088629597 13553918033 14980646247 23541015531 26394471959 28206802393 40661754099 54929036239 79183415877 84620407179 94877426231 149093098363 164787108717 184761303713 284632278693 290339191549 447279295089 501494967221 554283911139 871017574647 1043651688541 1504484901663 2032374340843 3130955065623 3510464770547 5516444639431 6097123022529 10531394311641 16549333918293 38615112476017 115845337428051