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198820207728 = 243229311535813
BaseRepresentation
bin1011100100101010011…
…0111001110001110000
3201000012010022000202100
42321022212321301300
511224140433121403
6231200423020400
720235643611252
oct2711246716160
9630163260670
10198820207728
117735690786a
123264859a700
1315996a8183c
1498a1531cd2
155289acb2a3
hex2e4a9b9c70

198820207728 has 120 divisors (see below), whose sum is σ = 594175720320. Its totient is φ = 61923939840.

The previous prime is 198820207709. The next prime is 198820207783. The reversal of 198820207728 is 827702028891.

198820207728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 638451 + ... + 897362.

It is an arithmetic number, because the mean of its divisors is an integer number (4951464336).

Almost surely, 2198820207728 is an apocalyptic number.

198820207728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198820207728 is an abundant number, since it is smaller than the sum of its proper divisors (395355512592).

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

198820207728 is a wasteful number, since it uses less digits than its factorization.

198820207728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535887 (or 1535878 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 198820207728 in words is "one hundred ninety-eight billion, eight hundred twenty million, two hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 48 58 62 72 87 93 116 124 144 174 186 232 248 261 279 348 372 464 496 522 558 696 744 899 1044 1116 1392 1488 1798 2088 2232 2697 3596 4176 4464 5394 7192 8091 10788 14384 16182 21576 32364 43152 64728 129456 1535813 3071626 4607439 6143252 9214878 12286504 13822317 18429756 24573008 27644634 36859512 44538577 47610203 55289268 73719024 89077154 95220406 110578536 133615731 142830609 178154308 190440812 221157072 267231462 285661218 356308616 380881624 400847193 428491827 534462924 571322436 712617232 761763248 801694386 856983654 1068925848 1142644872 1380695887 1603388772 1713967308 2137851696 2285289744 2761391774 3206777544 3427934616 4142087661 5522783548 6413555088 6855869232 8284175322 11045567096 12426262983 16568350644 22091134192 24852525966 33136701288 49705051932 66273402576 99410103864 198820207728