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252042404240253 = 31167113994755423
BaseRepresentation
bin111001010011101100110001…
…111110010001101101111101
31020001102000111111200202210010
4321103230301332101231331
5231013430320441142003
62252014403153533433
7104042314510451424
oct7123546176215575
91201360444622703
10252042404240253
1173343646509580
122432760b274279
13aa8365c43a433
144634cbb6d02bb
151e213047c6003
hexe53b31f91b7d

252042404240253 has 16 divisors (see below), whose sum is σ = 372078881703936. Its totient is φ = 150473077157040.

The previous prime is 252042404240219. The next prime is 252042404240293. The reversal of 252042404240253 is 352042404240252.

It is not a de Polignac number, because 252042404240253 - 222 = 252042400045949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252042404240293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56997375501 + ... + 56997379922.

It is an arithmetic number, because the mean of its divisors is an integer number (23254930106496).

Almost surely, 2252042404240253 is an apocalyptic number.

It is an amenable number.

252042404240253 is a deficient number, since it is larger than the sum of its proper divisors (120036477463683).

252042404240253 is a wasteful number, since it uses less digits than its factorization.

252042404240253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113994755504.

The product of its (nonzero) digits is 614400, while the sum is 39.

Subtracting 252042404240253 from its reverse (352042404240252), we obtain a palindrome (99999999999999).

The spelling of 252042404240253 in words is "two hundred fifty-two trillion, forty-two billion, four hundred four million, two hundred forty thousand, two hundred fifty-three".

Divisors: 1 3 11 33 67 201 737 2211 113994755423 341984266269 1253942309653 3761826928959 7637648613341 22912945840023 84014134746751 252042404240253