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18768382240 = 255117302389
BaseRepresentation
bin10001011110101011…
…101100100100100000
31210110000000121022011
4101132223230210200
5301414201212430
612342211322304
71233045421366
oct213653544440
953400017264
1018768382240
117a61298403
1237795b0394
131a0149302a
14ca08c5636
1574ca8722a
hex45eaec920

18768382240 has 24 divisors (see below), whose sum is σ = 44340303420. Its totient is φ = 7507352832.

The previous prime is 18768382223. The next prime is 18768382249. The reversal of 18768382240 is 4228386781.

It can be written as a sum of positive squares in 2 ways, for example, as 18064435216 + 703947024 = 134404^2 + 26532^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18768382249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58651035 + ... + 58651354.

Almost surely, 218768382240 is an apocalyptic number.

18768382240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18768382240 is an abundant number, since it is smaller than the sum of its proper divisors (25571921180).

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

18768382240 is a wasteful number, since it uses less digits than its factorization.

18768382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117302404 (or 117302396 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 18768382240 in words is "eighteen billion, seven hundred sixty-eight million, three hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 117302389 234604778 469209556 586511945 938419112 1173023890 1876838224 2346047780 3753676448 4692095560 9384191120 18768382240