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2182252023936 = 27321894315993
BaseRepresentation
bin11111110000011000010…
…110110101000010000000
321201121202220011221021200
4133300120112311002000
5241223223004231221
64350302430221200
7313443145101435
oct37603026650200
97647686157250
102182252023936
11771540415976
122b2b27954800
1312aa2992395a
147789b7c9b8c
153bb7327c426
hex1fc185b5080

2182252023936 has 48 divisors (see below), whose sum is σ = 6279657520110. Its totient is φ = 727417340928.

The previous prime is 2182252023911. The next prime is 2182252023937. The reversal of 2182252023936 is 6393202522812.

2182252023936 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 252 + 0 + 2 + 393 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1962801000000 + 219451023936 = 1401000^2 + 468456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2182252023891 and 2182252023900.

It is not an unprimeable number, because it can be changed into a prime (2182252023937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 947156845 + ... + 947159148.

Almost surely, 22182252023936 is an apocalyptic number.

It is an amenable number.

2182252023936 is an abundant number, since it is smaller than the sum of its proper divisors (4097405496174).

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

2182252023936 is a wasteful number, since it uses less digits than its factorization.

2182252023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894316013 (or 1894315998 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2182252023936 in words is "two trillion, one hundred eighty-two billion, two hundred fifty-two million, twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1894315993 3788631986 5682947979 7577263972 11365895958 15154527944 17048843937 22731791916 30309055888 34097687874 45463583832 60618111776 68195375748 90927167664 121236223552 136390751496 181854335328 242472447104 272781502992 363708670656 545563005984 727417341312 1091126011968 2182252023936