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642610683 = 321113499309
BaseRepresentation
bin100110010011010…
…111010111111011
31122210012000010200
4212103113113323
52304002020213
6143433213243
721632046351
oct4623272773
91583160120
10642610683
112aa811a10
1215b261223
13a3197810
14614b97d1
153b638273
hex264d75fb

642610683 has 24 divisors (see below), whose sum is σ = 1090493040. Its totient is φ = 359501760.

The previous prime is 642610679. The next prime is 642610691. The reversal of 642610683 is 386016246.

642610683 is a `hidden beast` number, since 642 + 6 + 1 + 0 + 6 + 8 + 3 = 666.

It is not a de Polignac number, because 642610683 - 22 = 642610679 is a prime.

It is a super-3 number, since 3×6426106833 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (642617683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248368 + ... + 250941.

It is an arithmetic number, because the mean of its divisors is an integer number (45437210).

Almost surely, 2642610683 is an apocalyptic number.

642610683 is a deficient number, since it is larger than the sum of its proper divisors (447882357).

642610683 is a wasteful number, since it uses less digits than its factorization.

642610683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499339 (or 499336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 642610683 is about 25349.7669220054. The cubic root of 642610683 is about 862.9440667287.

The spelling of 642610683 in words is "six hundred forty-two million, six hundred ten thousand, six hundred eighty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 499309 1497927 4493781 5492399 6491017 16477197 19473051 49431591 58419153 71401187 214203561 642610683