Search a number
-
+
18495482240 = 275137210943
BaseRepresentation
bin10001001110011010…
…101010100110000000
31202201222111211212202
4101032122222212000
5300334320412430
612255142212332
71223223001514
oct211632524600
952658454782
1018495482240
117931243614
1237021240a8
131989a93241
14c76568144
15733b2cd45
hex44e6aa980

18495482240 has 64 divisors (see below), whose sum is σ = 44538716160. Its totient is φ = 7344156672.

The previous prime is 18495482237. The next prime is 18495482273. The reversal of 18495482240 is 4228459481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17792 + ... + 193151.

It is an arithmetic number, because the mean of its divisors is an integer number (695917440).

Almost surely, 218495482240 is an apocalyptic number.

18495482240 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 18495482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269358080).

18495482240 is an abundant number, since it is smaller than the sum of its proper divisors (26043233920).

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

18495482240 is a wasteful number, since it uses less digits than its factorization.

18495482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211099 (or 211087 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 18495482240 in words is "eighteen billion, four hundred ninety-five million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 548 640 685 1096 1370 2192 2740 4384 5480 8768 10960 17536 21920 43840 87680 210943 421886 843772 1054715 1687544 2109430 3375088 4218860 6750176 8437720 13500352 16875440 27000704 28899191 33750880 57798382 67501760 115596764 135003520 144495955 231193528 288991910 462387056 577983820 924774112 1155967640 1849548224 2311935280 3699096448 4623870560 9247741120 18495482240