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252141445553505 = 35316712041672131
BaseRepresentation
bin111001010101001001000001…
…010010111001110101100001
31020001202111010212101210001020
4321111021001102321311201
5231022041140030203010
62252132103033000053
7104052422033644014
oct7125110122716541
91201674125353036
10252141445553505
117338164a779082
122434284bb53029
13aa8cab44461c1
1446399d52b937b
151e23b9e790470
hexe552414b9d61

252141445553505 has 64 divisors (see below), whose sum is σ = 422691318521856. Its totient is φ = 128184331968000.

The previous prime is 252141445553453. The next prime is 252141445553513. The reversal of 252141445553505 is 505355544141252.

It is not a de Polignac number, because 252141445553505 - 26 = 252141445553441 is a prime.

It is a super-2 number, since 2×2521414455535052 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374801290 + ... + 375473420.

It is an arithmetic number, because the mean of its divisors is an integer number (6604551851904).

Almost surely, 2252141445553505 is an apocalyptic number.

It is an amenable number.

252141445553505 is a deficient number, since it is larger than the sum of its proper divisors (170549872968351).

252141445553505 is a wasteful number, since it uses less digits than its factorization.

252141445553505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684278.

The product of its (nonzero) digits is 12000000, while the sum is 51.

Adding to 252141445553505 its reverse (505355544141252), we get a palindrome (757496989694757).

The spelling of 252141445553505 in words is "two hundred fifty-two trillion, one hundred forty-one billion, four hundred forty-five million, five hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 15 31 67 93 155 201 335 465 1005 2077 6231 10385 12041 31155 36123 60205 180615 373271 672131 806747 1119813 1866355 2016393 2420241 3360655 4033735 5599065 10081965 12101205 20836061 25009157 45032777 62508183 75027471 104180305 125045785 135098331 225163885 312540915 375137355 675491655 1396016087 4188048261 6980080435 8093129371 20940241305 24279388113 40465646855 121396940565 250887010501 542239667857 752661031503 1254435052505 1626719003571 2711198339285 3763305157515 8133595017855 16809429703567 50428289110701 84047148517835 252141445553505