Search a number
-
+
18059288337440 = 2557103191819619
BaseRepresentation
bin1000001101100110000010…
…11101110101110000100000
32100221110011212002020221022
410012303001131311300200
54331340410303244230
6102224153355545012
73542512000044350
oct406630135656040
970843155066838
1018059288337440
1158329a0509739
12203801715b168
13a0cca2c15c4c
1446610792cb60
15214b6bdd31e5
hex106cc1775c20

18059288337440 has 192 divisors, whose sum is σ = 49491304611840. Its totient is φ = 6099531586560.

The previous prime is 18059288337427. The next prime is 18059288337481. The reversal of 18059288337440 is 4473388295081.

It is a super-2 number, since 2×180592883374402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21623951 + ... + 22443569.

It is an arithmetic number, because the mean of its divisors is an integer number (257767211520).

Almost surely, 218059288337440 is an apocalyptic number.

18059288337440 is a gapful number since it is divisible by the number (10) 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 18059288337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24745652305920).

18059288337440 is an abundant number, since it is smaller than the sum of its proper divisors (31432016274400).

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

18059288337440 is a wasteful number, since it uses less digits than its factorization.

18059288337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819935 (or 819927 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 18059288337440 in words is "eighteen trillion, fifty-nine billion, two hundred eighty-eight million, three hundred thirty-seven thousand, four hundred forty".