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117182283288 = 233712743112743
BaseRepresentation
bin110110100100010011…
…0111011111000011000
3102012110122010202211020
41231020212323320120
53404442131031123
6125455515002440
711315612654610
oct1551046737030
9365418122736
10117182283288
1145773386924
121a864139420
13b0864c6085
14595902da40
1530ac91b7e3
hex1b489bbe18

117182283288 has 128 divisors (see below), whose sum is σ = 338252267520. Its totient is φ = 33137354880.

The previous prime is 117182283287. The next prime is 117182283289. The reversal of 117182283288 is 882382281711.

It is a happy number.

117182283288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (117182283287) and next prime (117182283289).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117182283288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117182283287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9189445 + ... + 9202187.

It is an arithmetic number, because the mean of its divisors is an integer number (2642595840).

Almost surely, 2117182283288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117182283288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169126133760).

117182283288 is an abundant number, since it is smaller than the sum of its proper divisors (221069984232).

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

117182283288 is a wasteful number, since it uses less digits than its factorization.

117182283288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317 (or 13313 counting only the distinct ones).

The product of its digits is 688128, while the sum is 51.

The spelling of 117182283288 in words is "one hundred seventeen billion, one hundred eighty-two million, two hundred eighty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 431 508 762 862 889 1016 1293 1524 1724 1778 2586 2667 3017 3048 3448 3556 5172 5334 6034 7112 9051 10344 10668 12068 12743 18102 21336 24136 25486 36204 38229 50972 54737 72408 76458 89201 101944 109474 152916 164211 178402 218948 267603 305832 328422 356804 383159 437896 535206 656844 713608 766318 1070412 1149477 1313688 1532636 1618361 2140824 2298954 3065272 3236722 4597908 4855083 5492233 6473444 9195816 9710166 10984466 11328527 12946888 16476699 19420332 21968932 22657054 32953398 33985581 38445631 38840664 43937864 45314108 65906796 67971162 76891262 90628216 115336893 131813592 135942324 153782524 230673786 271884648 307565048 461347572 697513591 922695144 1395027182 2092540773 2790054364 4185081546 4882595137 5580108728 8370163092 9765190274 14647785411 16740326184 19530380548 29295570822 39060761096 58591141644 117182283288