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199856994147696 = 243315311932124223
BaseRepresentation
bin101101011100010011010101…
…001001000101110101110000
3222012122010211112220001122010
4231130103111021011311300
5202143424111000211241
61545021011405442520
760045122424526434
oct5534232511056560
9865563745801563
10199856994147696
1158753969a31956
121a4b975ab70440
138769583a46972
14374d1b71089c4
151818b1451ed16
hexb5c4d5245d70

199856994147696 has 160 divisors (see below), whose sum is σ = 543463099564032. Its totient is φ = 63200532695040.

The previous prime is 199856994147691. The next prime is 199856994147697. The reversal of 199856994147696 is 696741499658991.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199856994147691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93022641 + ... + 95146863.

Almost surely, 2199856994147696 is an apocalyptic number.

199856994147696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199856994147696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271731549782016).

199856994147696 is an abundant number, since it is smaller than the sum of its proper divisors (343606105416336).

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

199856994147696 is a wasteful number, since it uses less digits than its factorization.

199856994147696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125511 (or 2125505 counting only the distinct ones).

The product of its digits is 57140536320, while the sum is 93.

The spelling of 199856994147696 in words is "one hundred ninety-nine trillion, eight hundred fifty-six billion, nine hundred ninety-four million, one hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 186 212 248 318 372 424 496 636 744 848 1193 1272 1488 1643 2386 2544 3286 3579 4772 4929 6572 7158 9544 9858 13144 14316 19088 19716 26288 28632 36983 39432 57264 63229 73966 78864 110949 126458 147932 189687 221898 252916 295864 379374 443796 505832 591728 758748 887592 1011664 1517496 1775184 1960099 2124223 3034992 3920198 4248446 5880297 6372669 7840396 8496892 11760594 12745338 15680792 16993784 23521188 25490676 31361584 33987568 47042376 50981352 65850913 94084752 101962704 112583819 131701826 197552739 225167638 263403652 337751457 395105478 450335276 526807304 675502914 790210956 900670552 1053614608 1351005828 1580421912 1801341104 2534198039 2702011656 3160843824 3490098389 5068396078 5404023312 6980196778 7602594117 10136792156 10470295167 13960393556 15205188234 20273584312 20940590334 27920787112 30410376468 40547168624 41881180668 55841574224 60820752936 78560139209 83762361336 121641505872 134312496067 157120278418 167524722672 235680417627 268624992134 314240556836 402937488201 471360835254 537249984268 628481113672 805874976402 942721670508 1074499968536 1256962227344 1611749952804 1885443341016 2148999937072 3223499905608 3770886682032 4163687378077 6446999811216 8327374756154 12491062134231 16654749512308 24982124268462 33309499024616 49964248536924 66618998049232 99928497073848 199856994147696