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117451514336 = 251317357467
BaseRepresentation
bin110110101100010100…
…1111110000111100000
3102020011101202010101112
41231120221332013200
53411020041424321
6125542333322452
711325362254022
oct1553051760740
9366141663345
10117451514336
11458a1355122
121a91a336428
13b0ca20cba0
145982ab4012
1530c639da5b
hex1b58a7e1e0

117451514336 has 96 divisors (see below), whose sum is σ = 264584970720. Its totient is φ = 51018774528.

The previous prime is 117451514309. The next prime is 117451514339. The reversal of 117451514336 is 633415154711.

It is a super-2 number, since 2×1174515143362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117451514293 and 117451514302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117451514339) 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, 2015075 + ... + 2072541.

It is an arithmetic number, because the mean of its divisors is an integer number (2756093445).

Almost surely, 2117451514336 is an apocalyptic number.

117451514336 is a gapful number since it is divisible by the number (16) 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 117451514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132292485360).

117451514336 is an abundant number, since it is smaller than the sum of its proper divisors (147133456384).

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

117451514336 is an equidigital number, since it uses as much as digits as its factorization.

117451514336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57541 (or 57499 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The spelling of 117451514336 in words is "one hundred seventeen billion, four hundred fifty-one million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 4913 7072 7514 9248 9826 15028 19652 30056 39304 57467 60112 63869 78608 114934 120224 127738 157216 229868 255476 459736 510952 747071 919472 976939 1021904 1494142 1838944 1953878 2043808 2988284 3907756 5976568 7815512 11953136 12700207 15631024 16607963 23906272 25400414 31262048 33215926 50800828 66431852 101601656 132863704 203203312 215903519 265727408 282335371 406406624 431807038 531454816 564670742 863614076 1129341484 1727228152 2258682968 3454456304 3670359823 4517365936 6908912608 7340719646 9034731872 14681439292 29362878584 58725757168 117451514336