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2200856833152 = 27321726610609
BaseRepresentation
bin100000000001101101010…
…010100010110010000000
321210101210111102011120200
4200001231102202302000
5242024323322130102
64403020520005200
7315002166262635
oct40015522426200
97711714364520
102200856833152
1177941834045a
122b665a600800
1312c703244ac3
147874469218c
153c3b17a351c
hex2006d4a2c80

2200856833152 has 144 divisors (see below), whose sum is σ = 6727650850050. Its totient is φ = 690464784384.

The previous prime is 2200856833117. The next prime is 2200856833177. The reversal of 2200856833152 is 2513386580022.

2200856833152 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 568 + 3 + 31 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2083218808896 + 117638024256 = 1443336^2 + 342984^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2200856833098 and 2200856833107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2972377 + ... + 3638232.

Almost surely, 22200856833152 is an apocalyptic number.

It is an amenable number.

2200856833152 is an abundant number, since it is smaller than the sum of its proper divisors (4526794016898).

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

2200856833152 is a wasteful number, since it uses less digits than its factorization.

2200856833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610663 (or 6610631 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2200856833152 in words is "two trillion, two hundred billion, eight hundred fifty-six million, eight hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 289 306 384 408 544 576 578 612 816 867 1088 1152 1156 1224 1632 1734 2176 2312 2448 2601 3264 3468 4624 4896 5202 6528 6936 9248 9792 10404 13872 18496 19584 20808 27744 36992 41616 55488 83232 110976 166464 332928 6610609 13221218 19831827 26442436 39663654 52884872 59495481 79327308 105769744 112380353 118990962 158654616 211539488 224760706 237981924 317309232 337141059 423078976 449521412 475963848 634618464 674282118 846157952 899042824 951927696 1011423177 1269236928 1348564236 1798085648 1903855392 1910466001 2022846354 2538473856 2697128472 3596171296 3807710784 3820932002 4045692708 5394256944 5731398003 7192342592 7615421568 7641864004 8091385416 10788513888 11462796006 14384685184 15283728008 16182770832 17194194009 21577027776 22925592012 30567456016 32365541664 34388388018 43154055552 45851184024 61134912032 64731083328 68776776036 91702368048 122269824064 129462166656 137553552072 183404736096 244539648128 275107104144 366809472192 550214208288 733618944384 1100428416576 2200856833152