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199439909368 = 23727110170949
BaseRepresentation
bin1011100110111110001…
…0111000000111111000
3201001210022101010120221
42321233202320013320
511231423104044433
6231342121225424
720260210154500
oct2715742700770
9631708333527
10199439909368
11776446a1887
12327a0032274
1315a65287abb
14991d966a00
1552c41db72d
hex2e6f8b81f8

199439909368 has 96 divisors (see below), whose sum is σ = 445503564000. Its totient is φ = 83434848000.

The previous prime is 199439909363. The next prime is 199439909393. The reversal of 199439909368 is 863909934991.

It is a junction number, because it is equal to n+sod(n) for n = 199439909297 and 199439909306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199439909363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775558 + ... + 2846506.

It is an arithmetic number, because the mean of its divisors is an integer number (4640662125).

Almost surely, 2199439909368 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 199439909368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222751782000).

199439909368 is an abundant number, since it is smaller than the sum of its proper divisors (246063654632).

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

199439909368 is a wasteful number, since it uses less digits than its factorization.

199439909368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71141 (or 71130 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 70.

The spelling of 199439909368 in words is "one hundred ninety-nine billion, four hundred thirty-nine million, nine hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 71 98 101 142 196 202 284 392 404 497 568 707 808 994 1414 1988 2828 3479 3976 4949 5656 6958 7171 9898 13916 14342 19796 27832 28684 39592 50197 57368 70949 100394 141898 200788 283796 351379 401576 496643 567592 702758 993286 1405516 1986572 2811032 3476501 3973144 5037379 6953002 7165849 10074758 13906004 14331698 20149516 27812008 28663396 35261653 40299032 50160943 57326792 70523306 100321886 141046612 200643772 246831571 282093224 351126601 401287544 493663142 508775279 702253202 987326284 1017550558 1404506404 1974652568 2035101116 2809012808 3561426953 4070202232 7122853906 14245707812 24929988671 28491415624 49859977342 99719954684 199439909368