Search a number
-
+
116511345344 = 267138366947
BaseRepresentation
bin110110010000010011…
…1100000101011000000
3102010201212122120222202
41230200213200223000
53402103401022334
6125305150252332
711263155044402
oct1544047405300
9363655576882
10116511345344
1145459687259
121a6b74b70a8
13acaa4c0a84
1458d3c9cb72
15306da8a17e
hex1b209e0ac0

116511345344 has 56 divisors (see below), whose sum is σ = 235074244608. Its totient is φ = 57284353280.

The previous prime is 116511345343. The next prime is 116511345347. The reversal of 116511345344 is 443543115611.

It is a junction number, because it is equal to n+sod(n) for n = 116511345298 and 116511345307.

It is not an unprimeable number, because it can be changed into a prime (116511345343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706879 + ... + 1773825.

It is an arithmetic number, because the mean of its divisors is an integer number (4197754368).

Almost surely, 2116511345344 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 116511345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117537122304).

116511345344 is an abundant number, since it is smaller than the sum of its proper divisors (118562899264).

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

116511345344 is an equidigital number, since it uses as much as digits as its factorization.

116511345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67413 (or 67403 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 116511345344 in words is "one hundred sixteen billion, five hundred eleven million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 383 568 766 1136 1532 2272 3064 4544 6128 12256 24512 27193 54386 66947 108772 133894 217544 267788 435088 535576 870176 1071152 1740352 2142304 4284608 4753237 9506474 19012948 25640701 38025896 51281402 76051792 102562804 152103584 205125608 304207168 410251216 820502432 1641004864 1820489771 3640979542 7281959084 14563918168 29127836336 58255672672 116511345344