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20442610333 = 3117915672351
BaseRepresentation
bin10011000010011110…
…010111101010011101
31221202200101012111001
4103002132113222131
5313331302012313
613220300030301
71322405215015
oct230236275235
957680335431
1020442610333
118740358792
123b66232391
131c0a2b7c42
14dbcdbcc45
157e9a49add
hex4c2797a9d

20442610333 has 16 divisors (see below), whose sum is σ = 21242511360. Its totient is φ = 19651734000.

The previous prime is 20442610273. The next prime is 20442610361. The reversal of 20442610333 is 33301624402.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20442610333 is a prime.

It is a super-3 number, since 3×204426103333 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442610633) 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 15 ways as a sum of consecutive naturals, for example, 8694108 + ... + 8696458.

It is an arithmetic number, because the mean of its divisors is an integer number (1327656960).

Almost surely, 220442610333 is an apocalyptic number.

It is an amenable number.

20442610333 is a deficient number, since it is larger than the sum of its proper divisors (799901027).

20442610333 is a wasteful number, since it uses less digits than its factorization.

20442610333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128.

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 20442610333 in words is "twenty billion, four hundred forty-two million, six hundred ten thousand, three hundred thirty-three".

Divisors: 1 31 179 1567 2351 5549 48577 72881 280493 420829 3684017 8695283 13045699 114204527 659439043 20442610333