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198053481024 = 2634728832
BaseRepresentation
bin1011100001110011101…
…0000100101001000000
3200221012200120021110000
42320130322010221000
511221103142343044
6230552353240000
720210643545400
oct2703472045100
9627180507400
10198053481024
1176aa3032733
1232473863000
13158a3c7b7b9
14982b788800
155242627d69
hex2e1ce84a40

198053481024 has 315 divisors, whose sum is σ = 683718721587. Its totient is φ = 56522624256.

The previous prime is 198053481019. The next prime is 198053481071. The reversal of 198053481024 is 420184350891.

The square root of 198053481024 is 445032.

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

198053481024 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 534 + 8 + 102 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 224295687 + ... + 224296569.

Almost surely, 2198053481024 is an apocalyptic number.

198053481024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

198053481024 is the 445032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198053481024

198053481024 is an abundant number, since it is smaller than the sum of its proper divisors (485665240563).

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

198053481024 is an frugal number, since it uses more digits than its factorization.

198053481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 198053481024 in words is "one hundred ninety-eight billion, fifty-three million, four hundred eighty-one thousand, twenty-four".