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642041676 = 223217834491
BaseRepresentation
bin100110010001001…
…100011101001100
31122202010002121100
4212101030131030
52303330313201
6143413103100
721624156423
oct4621143514
91582102540
10642041676
112aa463461
1215b027a90
13a3028823
14613ac2ba
153b574886
hex2644c74c

642041676 has 18 divisors (see below), whose sum is σ = 1622938772. Its totient is φ = 214013880.

The previous prime is 642041663. The next prime is 642041677. The reversal of 642041676 is 676140246.

642041676 is a `hidden beast` number, since 642 + 0 + 4 + 1 + 6 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 17834491 = 642041676 / (6 + 4 + 2 + 0 + 4 + 1 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 642041676.

It is not an unprimeable number, because it can be changed into a prime (642041677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8917210 + ... + 8917281.

Almost surely, 2642041676 is an apocalyptic number.

It is an amenable number.

642041676 is an abundant number, since it is smaller than the sum of its proper divisors (980897096).

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

642041676 is a wasteful number, since it uses less digits than its factorization.

642041676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17834501 (or 17834496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 642041676 is about 25338.5413155533. The cubic root of 642041676 is about 862.6892902750.

The spelling of 642041676 in words is "six hundred forty-two million, forty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 17834491 35668982 53503473 71337964 107006946 160510419 214013892 321020838 642041676