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198324423891 = 331131163132151
BaseRepresentation
bin1011100010110100001…
…1101000110011010011
3200221220120101121012000
42320231003220303103
511222132023031031
6231035312405043
720220443534316
oct2705503506323
9627816347160
10198324423891
1177121a70060
123252a546783
1315918144819
14985575697d
15525b2e73e6
hex2e2d0e8cd3

198324423891 has 64 divisors (see below), whose sum is σ = 332896174080. Its totient is φ = 115604820000.

The previous prime is 198324423889. The next prime is 198324423893.

198324423891 is a `hidden beast` number, since 1 + 9 + 83 + 2 + 442 + 38 + 91 = 666.

198324423891 is nontrivially palindromic in base 10.

198324423891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198324423889) and next prime (198324423893).

It is not a de Polignac number, because 198324423891 - 21 = 198324423889 is a prime.

It is a super-2 number, since 2×1983244238912 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198324423893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1434666 + ... + 1566816.

It is an arithmetic number, because the mean of its divisors is an integer number (5201502720).

Almost surely, 2198324423891 is an apocalyptic number.

198324423891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

198324423891 is a deficient number, since it is larger than the sum of its proper divisors (134571750189).

198324423891 is a wasteful number, since it uses less digits than its factorization.

198324423891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132365 (or 132359 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 198324423891 in words is "one hundred ninety-eight billion, three hundred twenty-four million, four hundred twenty-three thousand, eight hundred ninety-one".

Divisors: 1 3 9 11 27 31 33 93 99 163 279 297 341 489 837 1023 1467 1793 3069 4401 5053 5379 9207 15159 16137 45477 48411 55583 132151 136431 166749 396453 500247 1189359 1453661 1500741 3568077 4096681 4360983 12290043 13082949 21540613 36870129 39248847 45063491 64621839 110610387 135190473 193865517 236946743 405571419 581596551 667759003 710840229 1216714257 2003277009 2132520687 6009831027 6397562061 7345349033 18029493081 22036047099 66108141297 198324423891