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117006508719 = 3417194472213
BaseRepresentation
bin110110011111000100…
…0011010001010101111
3102012000101101111110000
41230332020122022233
53404112131234334
6125430235315343
711311346625402
oct1547610321257
9365011344400
10117006508719
114569313a891
121a8152abb53
13b058c71559
14593d955d39
15309c29a299
hex1b3e21a2af

117006508719 has 40 divisors (see below), whose sum is σ = 194809641840. Its totient is φ = 69551841024.

The previous prime is 117006508669. The next prime is 117006508721. The reversal of 117006508719 is 917805600711.

117006508719 is a `hidden beast` number, since 1 + 1 + 70 + 0 + 6 + 508 + 71 + 9 = 666.

It is not a de Polignac number, because 117006508719 - 215 = 117006475951 is a prime.

It is a super-2 number, since 2×1170065087192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117006508919) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2209944 + ... + 2262269.

It is an arithmetic number, because the mean of its divisors is an integer number (4870241046).

Almost surely, 2117006508719 is an apocalyptic number.

117006508719 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

117006508719 is a deficient number, since it is larger than the sum of its proper divisors (77803133121).

117006508719 is a wasteful number, since it uses less digits than its factorization.

117006508719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472261 (or 4472252 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 117006508719 in words is "one hundred seventeen billion, six million, five hundred eight thousand, seven hundred nineteen".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 26163 4472213 13416639 40249917 76027621 84972047 120749751 228082863 254916141 362249253 684248589 764748423 1444524799 2052745767 2294245269 4333574397 6158237301 6882735807 13000723191 39002169573 117006508719