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199355985408 = 2931024312671
BaseRepresentation
bin1011100110101010001…
…0101110111000000000
3201001120110110100120010
42321222202232320000
511231240113013113
6231325522344520
720255140626306
oct2715242567000
9631513410503
10199355985408
1177601290538
1232777abb140
1315a50a82658
14991275c276
1552bbb601c3
hex2e6a8aee00

199355985408 has 80 divisors (see below), whose sum is σ = 531190573056. Its totient is φ = 66440263680.

The previous prime is 199355985341. The next prime is 199355985421. The reversal of 199355985408 is 804589553991.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15726913 + ... + 15739583.

Almost surely, 2199355985408 is an apocalyptic number.

It is an amenable number.

199355985408 is an abundant number, since it is smaller than the sum of its proper divisors (331834587648).

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

199355985408 is a wasteful number, since it uses less digits than its factorization.

199355985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22935 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 66.

The spelling of 199355985408 in words is "one hundred ninety-nine billion, three hundred fifty-five million, nine hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 10243 12671 20486 25342 30729 38013 40972 50684 61458 76026 81944 101368 122916 152052 163888 202736 245832 304104 327776 405472 491664 608208 655552 810944 983328 1216416 1311104 1621888 1966656 2432832 2622208 3243776 3933312 4865664 5244416 6487552 7866624 9731328 15733248 19462656 129789053 259578106 389367159 519156212 778734318 1038312424 1557468636 2076624848 3114937272 4153249696 6229874544 8306499392 12459749088 16612998784 24919498176 33225997568 49838996352 66451995136 99677992704 199355985408