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253163363361352 = 23120509326259733
BaseRepresentation
bin111001100100000000110000…
…010101111110001001001000
31020012101011220002001012120021
4321210000300111332021020
5231140312032010030402
62254233351002110224
7104216310101665333
oct7144006025761110
91205334802035507
10253163363361352
1173735a85731454
122448890a1ab374
13ab352835168c2
14467325a5c961a
151e405602ebd37
hexe6403057e248

253163363361352 has 16 divisors (see below), whose sum is σ = 474681718274940. Its totient is φ = 126581571821376.

The previous prime is 253163363361329. The next prime is 253163363361421.

253163363361352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 244945474738756 + 8217888622596 = 15650734^2 + 2866686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253163363361352.

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 3 ways as a sum of consecutive naturals, for example, 3489123 + ... + 22770610.

Almost surely, 2253163363361352 is an apocalyptic number.

It is an amenable number.

253163363361352 is a deficient number, since it is larger than the sum of its proper divisors (221518354913588).

253163363361352 is a wasteful number, since it uses less digits than its factorization.

253163363361352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27464832 (or 27464828 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 52.

The spelling of 253163363361352 in words is "two hundred fifty-three trillion, one hundred sixty-three billion, three hundred sixty-three million, three hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 1205093 2410186 4820372 9640744 26259733 52519466 105038932 210077864 31645420420169 63290840840338 126581681680676 253163363361352