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199598071368 = 233232237092287
BaseRepresentation
bin1011100111100011111…
…0001101111001001000
3201002012022222121001210
42321320332031321020
511232234101240433
6231405531213120
720264140420263
oct2717076157110
9632168877053
10199598071368
11777159a9283
1232824ba71a0
1315a8bc83a97
149936977cda
1552d302e463
hex2e78f8de48

199598071368 has 128 divisors (see below), whose sum is σ = 523992268800. Its totient is φ = 63237563136.

The previous prime is 199598071367. The next prime is 199598071417. The reversal of 199598071368 is 863170895991.

It is a junction number, because it is equal to n+sod(n) for n = 199598071299 and 199598071308.

It is not an unprimeable number, because it can be changed into a prime (199598071367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87273921 + ... + 87276207.

It is an arithmetic number, because the mean of its divisors is an integer number (4093689600).

Almost surely, 2199598071368 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 199598071368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261996134400).

199598071368 is an abundant number, since it is smaller than the sum of its proper divisors (324394197432).

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

199598071368 is a wasteful number, since it uses less digits than its factorization.

199598071368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 66.

The spelling of 199598071368 in words is "one hundred ninety-nine billion, five hundred ninety-eight million, seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 223 276 446 552 669 709 892 1338 1418 1784 2127 2287 2676 2836 4254 4574 5129 5352 5672 6861 8508 9148 10258 13722 15387 16307 17016 18296 20516 27444 30774 32614 41032 48921 52601 54888 61548 65228 97842 105202 123096 130456 157803 158107 195684 210404 315606 316214 391368 420808 474321 510001 631212 632428 948642 1020002 1262424 1264856 1530003 1621483 1897284 2040004 3060006 3242966 3636461 3794568 4080008 4864449 6120012 6485932 7272922 9728898 10909383 11730023 12240024 12971864 14545844 19457796 21818766 23460046 29091688 35190069 37294109 38915592 43637532 46920092 70380138 74588218 87275064 93840184 111882327 140760276 149176436 223764654 281520552 298352872 361590709 447529308 723181418 895058616 1084772127 1446362836 2169544254 2892725672 4339088508 8316586307 8678177016 16633172614 24949758921 33266345228 49899517842 66532690456 99799035684 199598071368