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2053220133376 = 2958716994021
BaseRepresentation
bin11101111000001101011…
…101001110101000000000
321021021201102220202011001
4131320031131032220000
5232114443323232001
64211123013101344
7301224465113536
oct35701535165000
97237642822131
102053220133376
11721847268795
12291b17327854
1311b8054a1959
147153ab2a156
15386203eb001
hex1de0d74ea00

2053220133376 has 80 divisors (see below), whose sum is σ = 4112860197600. Its totient is φ = 1024003215360.

The previous prime is 2053220133347. The next prime is 2053220133379. The reversal of 2053220133376 is 6733310223502.

It is a super-2 number, since 2×20532201333762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2053220133379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 510622246 + ... + 510626266.

It is an arithmetic number, because the mean of its divisors is an integer number (51410752470).

Almost surely, 22053220133376 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 2053220133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056430098800).

2053220133376 is an abundant number, since it is smaller than the sum of its proper divisors (2059640064224).

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

2053220133376 is an equidigital number, since it uses as much as digits as its factorization.

2053220133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

Adding to 2053220133376 its reverse (6733310223502), we get a palindrome (8786530356878).

The spelling of 2053220133376 in words is "two trillion, fifty-three billion, two hundred twenty million, one hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 587 1174 1699 2348 3398 4021 4696 6796 8042 9392 13592 16084 18784 27184 32168 37568 54368 64336 75136 108736 128672 150272 217472 257344 300544 434944 514688 869888 997313 1029376 1994626 2058752 2360327 3989252 4720654 6831679 7978504 9441308 13663358 15957008 18882616 27326716 31914016 37765232 54653432 63828032 75530464 109306864 127656064 151060928 218613728 255312128 302121856 437227456 510624256 604243712 874454912 1208487424 1748909824 3497819648 4010195573 8020391146 16040782292 32081564584 64163129168 128326258336 256652516672 513305033344 1026610066688 2053220133376