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117152401711317 = 3719234267450971
BaseRepresentation
bin11010101000110010101011…
…010010011110000011010101
3120100210122211022012211220220
4122220302223102132003111
5110323411104314230232
61053055023110544553
733450660504123120
oct3250625322360325
9510718738184826
10117152401711317
1134368066677975
1211180b06368159
13504a568913a9b
1420d02c68b13b7
15d826097a442c
hex6a8cab49e0d5

117152401711317 has 48 divisors (see below), whose sum is σ = 188414052383232. Its totient is φ = 63418857634080.

The previous prime is 117152401711271. The next prime is 117152401711333. The reversal of 117152401711317 is 713117104251711.

It is a happy number.

It is not a de Polignac number, because 117152401711317 - 26 = 117152401711253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117152401711717) 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 47 ways as a sum of consecutive naturals, for example, 259552642 + ... + 260003612.

It is an arithmetic number, because the mean of its divisors is an integer number (3925292757984).

Almost surely, 2117152401711317 is an apocalyptic number.

It is an amenable number.

117152401711317 is a deficient number, since it is larger than the sum of its proper divisors (71261650671915).

117152401711317 is a wasteful number, since it uses less digits than its factorization.

117152401711317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485286 (or 485267 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 42.

The spelling of 117152401711317 in words is "one hundred seventeen trillion, one hundred fifty-two billion, four hundred one million, seven hundred eleven thousand, three hundred seventeen".

Divisors: 1 3 7 19 21 57 133 361 399 1083 2527 7581 34267 102801 239869 450971 651073 719607 1352913 1953219 3156797 4557511 8568449 9470391 12370387 13672533 25705347 37111161 59979143 86592709 162800531 179937429 259778127 488401593 1139603717 3418811151 15453423257 46360269771 108173962799 293615041883 324521888397 880845125649 2055305293181 5578685795777 6165915879543 16736057387331 39050800570439 117152401711317