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199998956844 = 2234372450899
BaseRepresentation
bin1011101001000011011…
…1011110010100101100
3201010020021022200120000
42322100313132110230
511234044213104334
6231513411424300
720310106040511
oct2722067362454
9633207280500
10199998956844
1177901219495
12329172b5090
1315b2404541b
149973ccd308
15530831a299
hex2e90dde52c

199998956844 has 90 divisors (see below), whose sum is σ = 537350606100. Its totient is φ = 64864382688.

The previous prime is 199998956813. The next prime is 199998956867. The reversal of 199998956844 is 448659899991.

199998956844 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 9 + 8 + 9 + 568 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218107 + ... + 669005.

It is an arithmetic number, because the mean of its divisors is an integer number (5970562290).

Almost surely, 2199998956844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199998956844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268675303050).

199998956844 is an abundant number, since it is smaller than the sum of its proper divisors (337351649256).

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

199998956844 is a wasteful number, since it uses less digits than its factorization.

199998956844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450989 (or 450941 counting only the distinct ones).

The product of its digits is 1813985280, while the sum is 81.

The spelling of 199998956844 in words is "one hundred ninety-nine billion, nine hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1369 1998 2738 2997 3996 4107 5476 5994 8214 11988 12321 16428 24642 36963 49284 73926 110889 147852 221778 443556 450899 901798 1352697 1803596 2705394 4058091 5410788 8116182 12174273 16232364 16683263 24348546 33366526 36522819 48697092 50049789 66733052 73045638 100099578 146091276 150149367 200199156 300298734 450448101 600597468 617280731 900896202 1234561462 1351344303 1801792404 1851842193 2469122924 2702688606 3703684386 5405377212 5555526579 7407368772 11111053158 16666579737 22222106316 33333159474 49999739211 66666318948 99999478422 199998956844