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198944545024 = 286124572
BaseRepresentation
bin1011100101001000000…
…1001101100100000000
3201000111210021000110101
42321102001031210000
511224414300420044
6231221024012144
720242013505541
oct2712201154400
9630453230411
10198944545024
1177410011265
1232682161054
13159b67669c4
1498b3c5a4c8
15529598bcd4
hex2e5204d900

198944545024 has 81 divisors (see below), whose sum is σ = 404614082691. Its totient is φ = 97627484160.

The previous prime is 198944544983. The next prime is 198944545091. The reversal of 198944545024 is 420545449891.

The square root of 198944545024 is 446032.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7478790400 + 191465754624 = 86480^2 + 437568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 435327004 + ... + 435327460.

Almost surely, 2198944545024 is an apocalyptic number.

198944545024 is the 446032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198944545024

198944545024 is an abundant number, since it is smaller than the sum of its proper divisors (205669537667).

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

198944545024 is an frugal number, since it uses more digits than its factorization.

198944545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 198944545024 in words is "one hundred ninety-eight billion, nine hundred forty-four million, five hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 457 488 914 976 1828 1952 3656 3721 3904 7312 7442 7808 14624 14884 15616 27877 29248 29768 55754 58496 59536 111508 116992 119072 208849 223016 238144 417698 446032 476288 835396 892064 952576 1670792 1700497 1784128 3341584 3400994 3568256 6683168 6801988 7136512 12739789 13366336 13603976 25479578 26732672 27207952 50959156 53465344 54415904 101918312 108831808 203836624 217663616 407673248 435327232 777127129 815346496 1554254258 1630692992 3108508516 3261385984 6217017032 12434034064 24868068128 49736136256 99472272512 198944545024