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163618481326336 = 28172312372412
BaseRepresentation
bin100101001100111101100101…
…011101010100100100000000
3210110022202220021201000211021
4211030331211131110210000
5132421211122204420321
61335553143113555224
746315021332106021
oct4514754535244400
9713282807630737
10163618481326336
1148152232202573
1216426436415b14
13703b20602968a
142c59269006c48
1513db15b1b7941
hex94cf65754900

163618481326336 has 729 divisors, whose sum is σ = 377648617346721. Its totient is φ = 70731015782400.

The previous prime is 163618481326291. The next prime is 163618481326343. The reversal of 163618481326336 is 633623184816361.

It is a happy number.

The square root of 163618481326336 is 12791344.

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

It can be written as a sum of positive squares in 13 ways, for example, as 52003482286336 + 111614999040000 = 7211344^2 + 10564800^2 .

It is a Duffinian number.

Its product of digits (53747712) is a multiple of the sum of its prime divisors (128).

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, 3990694666476 + ... + 3990694666516.

Almost surely, 2163618481326336 is an apocalyptic number.

163618481326336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163618481326336 is the 12791344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163618481326336

163618481326336 is an abundant number, since it is smaller than the sum of its proper divisors (214030136020385).

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

163618481326336 is an frugal number, since it uses more digits than its factorization.

163618481326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 128 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 61.

The spelling of 163618481326336 in words is "one hundred sixty-three trillion, six hundred eighteen billion, four hundred eighty-one million, three hundred twenty-six thousand, three hundred thirty-six".