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117431776512 = 283327316221
BaseRepresentation
bin110110101011101111…
…0101011010100000000
3102020010000121100012000
41231113132223110000
53411000013322022
6125540350304000
711325032426241
oct1552736532400
9366100540160
10117431776512
11458911a3876
121a9137b8000
13b0c60bbbbb
145980216cc8
1530c47a06ac
hex1b577ab500

117431776512 has 144 divisors (see below), whose sum is σ = 347449421760. Its totient is φ = 39123302400.

The previous prime is 117431776477. The next prime is 117431776519. The reversal of 117431776512 is 215677134711.

117431776512 is a `hidden beast` number, since 1 + 17 + 43 + 17 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1174317765122 (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 (117431776519) 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 15 ways as a sum of consecutive naturals, for example, 18873562 + ... + 18879782.

Almost surely, 2117431776512 is an apocalyptic number.

117431776512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117431776512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173724710880).

117431776512 is an abundant number, since it is smaller than the sum of its proper divisors (230017645248).

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

117431776512 is an equidigital number, since it uses as much as digits as its factorization.

117431776512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977 (or 8957 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 117431776512 in words is "one hundred seventeen billion, four hundred thirty-one million, seven hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2731 3456 5462 6221 6912 8193 10924 12442 16386 18663 21848 24579 24884 32772 37326 43696 49158 49768 55989 65544 73737 74652 87392 98316 99536 111978 131088 147474 149304 167967 174784 196632 199072 223956 262176 294948 298608 335934 349568 393264 398144 447912 524352 589896 597216 671868 699136 786528 796288 895824 1048704 1179792 1194432 1343736 1573056 1592576 1791648 2097408 2359584 2388864 2687472 3146112 3583296 4719168 4777728 5374944 6292224 7166592 9438336 10749888 14333184 16989551 18876672 21499776 33979102 42999552 50968653 67958204 101937306 135916408 152905959 203874612 271832816 305811918 407749224 458717877 543665632 611623836 815498448 917435754 1087331264 1223247672 1630996896 1834871508 2174662528 2446495344 3261993792 3669743016 4349325056 4892990688 6523987584 7339486032 9785981376 13047975168 14678972064 19571962752 29357944128 39143925504 58715888256 117431776512