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116818848 = 253583181
BaseRepresentation
bin1101111011010…
…00001110100000
322010211000100000
412331220032200
5214401200343
615331500000
72615641506
oct675501640
9263730300
10116818848
115aa39803
1233157600
131b281ca3
141172c676
15a3c7ed3
hex6f683a0

116818848 has 144 divisors (see below), whose sum is σ = 350584416. Its totient is φ = 38257920.

The previous prime is 116818841. The next prime is 116818853. The reversal of 116818848 is 848818611.

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

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

It is not an unprimeable number, because it can be changed into a prime (116818841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645318 + ... + 645498.

It is an arithmetic number, because the mean of its divisors is an integer number (2434614).

Almost surely, 2116818848 is an apocalyptic number.

116818848 is a gapful number since it is divisible by the number (18) 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 116818848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175292208).

116818848 is an abundant number, since it is smaller than the sum of its proper divisors (233765568).

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

116818848 is an equidigital number, since it uses as much as digits as its factorization.

116818848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 116818848 is about 10808.2768284311. The cubic root of 116818848 is about 488.8447698785.

The spelling of 116818848 in words is "one hundred sixteen million, eight hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 181 216 243 249 288 324 332 362 432 486 498 543 648 664 724 747 864 972 996 1086 1296 1328 1448 1494 1629 1944 1992 2172 2241 2592 2656 2896 2988 3258 3888 3984 4344 4482 4887 5792 5976 6516 6723 7776 7968 8688 8964 9774 11952 13032 13446 14661 15023 17376 17928 19548 20169 23904 26064 26892 29322 30046 35856 39096 40338 43983 45069 52128 53784 58644 60092 71712 78192 80676 87966 90138 107568 117288 120184 135207 156384 161352 175932 180276 215136 234576 240368 270414 322704 351864 360552 405621 469152 480736 540828 645408 703728 721104 811242 1081656 1216863 1407456 1442208 1622484 2163312 2433726 3244968 3650589 4326624 4867452 6489936 7301178 9734904 12979872 14602356 19469808 29204712 38939616 58409424 116818848