Search a number
-
+
243746023352 = 231329186143427
BaseRepresentation
bin1110001100000001100…
…1010010011110111000
3212022011002010220222112
43203000121102132320
512443142440221402
6303550403111452
723416153004456
oct3430031223670
9768132126875
10243746023352
1194410304007
123b2a6072588
1319ca64ba6b0
14bb23dad9d6
156518c63e52
hex38c06527b8

243746023352 has 64 divisors (see below), whose sum is σ = 509436496800. Its totient is φ = 108558051840.

The previous prime is 243746023331. The next prime is 243746023363. The reversal of 243746023352 is 253320647342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5591063 + ... + 5634489.

Almost surely, 2243746023352 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 243746023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254718248400).

243746023352 is an abundant number, since it is smaller than the sum of its proper divisors (265690473448).

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

243746023352 is a wasteful number, since it uses less digits than its factorization.

243746023352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 45332 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 41.

The spelling of 243746023352 in words is "two hundred forty-three billion, seven hundred forty-six million, twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 1861 3016 3722 7444 14888 24193 43427 48386 53969 86854 96772 107938 173708 193544 215876 347416 431752 564551 701597 1129102 1259383 1403194 2258204 2518766 2806388 4516408 5037532 5612776 10075064 16371979 32743958 65487916 80817647 130975832 161635294 323270588 646541176 1050629411 2101258822 2343711763 4202517644 4687423526 8405035288 9374847052 18749694104 30468252919 60936505838 121873011676 243746023352