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2005501312422 = 23427431451301
BaseRepresentation
bin11101001011110001001…
…100010111110110100110
321002201112211112110220000
4131023301030113312212
5230324231313444142
64133151541122130
7264615122613546
oct35136114276646
97081484473800
102005501312422
1170358a231283
1228481a3b9346
1311716c21751a
146d0d1369326
153727ae5b14c
hex1d2f1317da6

2005501312422 has 40 divisors (see below), whose sum is σ = 4493982276432. Its totient is φ = 668474586000.

The previous prime is 2005501312417. The next prime is 2005501312427. The reversal of 2005501312422 is 2242131055002.

2005501312422 is a `hidden beast` number, since 200 + 5 + 5 + 0 + 1 + 31 + 2 + 422 = 666.

It is an interprime number because it is at equal distance from previous prime (2005501312417) and next prime (2005501312427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005501312427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4218172 + ... + 4669472.

Almost surely, 22005501312422 is an apocalyptic number.

2005501312422 is an abundant number, since it is smaller than the sum of its proper divisors (2488480964010).

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

2005501312422 is a wasteful number, since it uses less digits than its factorization.

2005501312422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478746 (or 478737 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2005501312422 its reverse (2242131055002), we get a palindrome (4247632367424).

The spelling of 2005501312422 in words is "two trillion, five billion, five hundred one million, three hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 27431 54862 82293 164586 246879 451301 493758 740637 902602 1353903 1481274 2221911 2707806 4061709 4443822 8123418 12185127 24370254 36555381 73110762 12379637731 24759275462 37138913193 74277826386 111416739579 222833479158 334250218737 668500437474 1002750656211 2005501312422