Search a number
-
+
18349630416 = 2432139802153
BaseRepresentation
bin10001000101101110…
…010010001111010000
31202100211001210210100
4101011232102033100
5300040001133131
612232452132400
71216502166525
oct210556221720
952324053710
1018349630416
117866984a17
123681307100
1319657b74a0
14c6103d14c
15725e1c7e6
hex445b923d0

18349630416 has 60 divisors (see below), whose sum is σ = 55303752868. Its totient is φ = 5646039552.

The previous prime is 18349630339. The next prime is 18349630441. The reversal of 18349630416 is 61403694381.

18349630416 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 9 + 630 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6599937600 + 11749692816 = 81240^2 + 108396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4899205 + ... + 4902948.

Almost surely, 218349630416 is an apocalyptic number.

18349630416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18349630416 is an abundant number, since it is smaller than the sum of its proper divisors (36954122452).

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

18349630416 is a wasteful number, since it uses less digits than its factorization.

18349630416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802180 (or 9802171 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 18349630416 in words is "eighteen billion, three hundred forty-nine million, six hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 9802153 19604306 29406459 39208612 58812918 78417224 88219377 117625836 127427989 156834448 176438754 235251672 254855978 352877508 382283967 470503344 509711956 705755016 764567934 1019423912 1146851901 1411510032 1529135868 2038847824 2293703802 3058271736 4587407604 6116543472 9174815208 18349630416