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198448890256 = 24619719310861
BaseRepresentation
bin1011100011010001111…
…0011100000110010000
3200222020020121010221101
42320310132130012100
511222410403442011
6231055520234144
720223514510111
oct2706436340620
9628206533841
10198448890256
1177186252521
123256416b954
1315937b73666
1498680b6208
1552671d12c1
hex2e3479c190

198448890256 has 80 divisors (see below), whose sum is σ = 396909037168. Its totient is φ = 96082329600.

The previous prime is 198448890221. The next prime is 198448890259. The reversal of 198448890256 is 652098844891.

It can be written as a sum of positive squares in 8 ways, for example, as 48435206400 + 150013683856 = 220080^2 + 387316^2 .

It is not an unprimeable number, because it can be changed into a prime (198448890259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18266266 + ... + 18277126.

Almost surely, 2198448890256 is an apocalyptic number.

198448890256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198448890256 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

198448890256 is a wasteful number, since it uses less digits than its factorization.

198448890256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11220 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 198448890256 in words is "one hundred ninety-eight billion, four hundred forty-eight million, eight hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 61 97 122 193 194 244 386 388 488 772 776 976 1544 1552 3088 5917 10861 11773 11834 18721 21722 23546 23668 37442 43444 47092 47336 74884 86888 94184 94672 149768 173776 188368 299536 662521 1053517 1141981 1325042 2096173 2107034 2283962 2650084 4192346 4214068 4567924 5300168 8384692 8428136 9135848 10600336 16769384 16856272 18271696 33538768 64264537 127866553 128529074 203328781 255733106 257058148 406657562 511466212 514116296 813315124 1022932424 1028232592 1626630248 2045864848 3253260496 12403055641 24806111282 49612222564 99224445128 198448890256