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2086063936272 = 243297167894287
BaseRepresentation
bin11110010110110011000…
…110011001001100010000
321101102111101022210201100
4132112303012121030100
5233134224331430042
64234154033504400
7303466415615121
oct36266306311420
97342441283640
102086063936272
11734770787a48
12298362712100
1312193aa8c754
1472d74b1c048
15393e3a1324c
hex1e5b3199310

2086063936272 has 120 divisors (see below), whose sum is σ = 5933593725696. Its totient is φ = 684064401408.

The previous prime is 2086063936261. The next prime is 2086063936349. The reversal of 2086063936272 is 2726393606802.

2086063936272 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 0 + 6 + 3 + 9 + 3 + 627 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885513 + ... + 2779799.

Almost surely, 22086063936272 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 2086063936272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966796862848).

2086063936272 is an abundant number, since it is smaller than the sum of its proper divisors (3847529789424).

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

2086063936272 is a wasteful number, since it uses less digits than its factorization.

2086063936272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894565 (or 894556 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2086063936272 in words is "two trillion, eighty-six billion, sixty-three million, nine hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 167 194 291 334 388 501 582 668 776 873 1002 1164 1336 1503 1552 1746 2004 2328 2672 3006 3492 4008 4656 6012 6984 8016 12024 13968 16199 24048 32398 48597 64796 97194 129592 145791 194388 259184 291582 388776 583164 777552 894287 1166328 1788574 2332656 2682861 3577148 5365722 7154296 8048583 10731444 14308592 16097166 21462888 32194332 42925776 64388664 86745839 128777328 149345929 173491678 260237517 298691858 346983356 448037787 520475034 597383716 693966712 780712551 896075574 1040950068 1194767432 1344113361 1387933424 1561425102 1792151148 2081900136 2389534864 2688226722 3122850204 3584302296 4163800272 5376453444 6245700408 7168604592 10752906888 12491400816 14486555113 21505813776 28973110226 43459665339 57946220452 86919330678 115892440904 130378996017 173838661356 231784881808 260757992034 347677322712 521515984068 695354645424 1043031968136 2086063936272