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642112335 = 32543331841
BaseRepresentation
bin100110010001011…
…101101101001111
31122202020200112100
4212101131231033
52303340043320
6143414410143
721624602424
oct4621355517
91582220470
10642112335
112aa501557
1215b060953
13a3051a37
14613c9d4b
153b58a790
hex2645db4f

642112335 has 24 divisors (see below), whose sum is σ = 1138881744. Its totient is φ = 334494720.

The previous prime is 642112333. The next prime is 642112337. The reversal of 642112335 is 533211246.

642112335 is a `hidden beast` number, since 6 + 421 + 1 + 233 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (642112333) and next prime (642112337).

It is not a de Polignac number, because 642112335 - 21 = 642112333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 642112299 and 642112308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642112333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163986 + ... + 167855.

It is an arithmetic number, because the mean of its divisors is an integer number (47453406).

Almost surely, 2642112335 is an apocalyptic number.

642112335 is a deficient number, since it is larger than the sum of its proper divisors (496769409).

642112335 is a wasteful number, since it uses less digits than its factorization.

642112335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331895 (or 331892 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 642112335 is about 25339.9355760823. The cubic root of 642112335 is about 862.7209364692.

The spelling of 642112335 in words is "six hundred forty-two million, one hundred twelve thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 43 45 129 215 387 645 1935 331841 995523 1659205 2986569 4977615 14269163 14932845 42807489 71345815 128422467 214037445 642112335