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200210352164992 = 27137314591129679
BaseRepresentation
bin101101100001011100011010…
…111010111101000010000000
3222020212220220200100012202001
4231201130122322331002000
5202220221300123234432
61545451211022233344
760112502111235541
oct5541343272750200
9866786820305661
10200210352164992
115887a808362304
121a556135a25854
1387939a822bc70
14376233893a4c8
151822de62869e7
hexb6171aebd080

200210352164992 has 128 divisors (see below), whose sum is σ = 435720739104000. Its totient is φ = 91076411695104.

The previous prime is 200210352164839. The next prime is 200210352164993. The reversal of 200210352164992 is 299461253012002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2002103521649922 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200210352164993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176662809 + ... + 177792487.

It is an arithmetic number, because the mean of its divisors is an integer number (3404068274250).

Almost surely, 2200210352164992 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 200210352164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217860369552000).

200210352164992 is an abundant number, since it is smaller than the sum of its proper divisors (235510386939008).

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

200210352164992 is a wasteful number, since it uses less digits than its factorization.

200210352164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131238 (or 1131226 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 200210352164992 in words is "two hundred trillion, two hundred ten billion, three hundred fifty-two million, one hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 292 416 584 832 949 1168 1459 1664 1898 2336 2918 3796 4672 5836 7592 9344 11672 15184 18967 23344 30368 37934 46688 60736 75868 93376 106507 121472 151736 186752 213014 303472 426028 606944 852056 1129679 1213888 1384591 1704112 2259358 2427776 2769182 3408224 4518716 5538364 6816448 9037432 11076728 13632896 14685827 18074864 22153456 29371654 36149728 44306912 58743308 72299456 82466567 88613824 117486616 144598912 164933134 177227648 234973232 329866268 469946464 659732536 939892928 1072065371 1319465072 1648201661 1879785856 2144130742 2638930144 3296403322 4288261484 5277860288 6592806644 8576522968 10555720576 13185613288 17153045936 21426621593 26371226576 34306091872 42853243186 52742453152 68612183744 85706486372 105484906304 120318721253 137224367488 171412972744 210969812608 240637442506 342825945488 481274885012 685651890976 962549770024 1371303781952 1564143376289 1925099540048 2742607563904 3128286752578 3850199080096 6256573505156 7700398160192 12513147010312 15400796320384 25026294020624 50052588041248 100105176082496 200210352164992