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18449301420225 = 3252132220272
BaseRepresentation
bin1000011000111100100000…
…00011101011100011000001
32102022201212112111200000100
410030132100003223203001
54404233132130421400
6103123254141513013
73612626613412554
oct414362003534301
972281775450010
1018449301420225
115973339752345
12209b721872769
13a3a9b9497900
1447ad455b669b
1521ed96b55100
hex10c7900eb8c1

18449301420225 has 81 divisors (see below), whose sum is σ = 35783808117993. Its totient is φ = 9082320661440.

The previous prime is 18449301420191. The next prime is 18449301420247. The reversal of 18449301420225 is 52202410394481.

The square root of 18449301420225 is 4295265.

It is a perfect power (a square), and thus also a powerful number.

18449301420225 is a `hidden beast` number, since 1 + 84 + 4 + 9 + 301 + 42 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4755334732929 + 13693966687296 = 2180673^2 + 3700536^2 .

It is not a de Polignac number, because 18449301420225 - 215 = 18449301387457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 837565662 + ... + 837587688.

Almost surely, 218449301420225 is an apocalyptic number.

18449301420225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18449301420225 is the 4295265-th square number.

18449301420225 is the 2147633-rd centered octagonal number.

It is an amenable number.

18449301420225 is a deficient number, since it is larger than the sum of its proper divisors (17334506697768).

18449301420225 is an frugal number, since it uses more digits than its factorization.

18449301420225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44096 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18449301420225 in words is "eighteen trillion, four hundred forty-nine billion, three hundred one million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 22027 38025 66081 110135 198243 286351 330405 550675 859053 991215 1431755 1652025 2577159 3722563 4295265 4956075 7158775 11167689 12885795 18612815 21476325 33503067 55838445 64428975 93064075 167515335 279192225 485188729 837576675 1455566187 2425943645 4366698561 6307453477 7277830935 12129718225 18922360431 21833492805 31537267385 36389154675 56767081293 81996895201 94611802155 109167464025 157686336925 245990685603 283835406465 409984476005 473059010775 737972056809 1229953428015 1419177032325 2049922380025 3689860284045 6149767140075 18449301420225