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42284507364 = 223211106779059
BaseRepresentation
bin100111011000010110…
…100110000011100100
311001010212202112110100
4213120112212003210
51143044313213424
631231503424100
73024564245061
oct473026460344
9131125675410
1042284507364
1116a29558260
128240bb5030
133cab461a78
142091b65c68
151177347dc9
hex9d85a60e4

42284507364 has 36 divisors (see below), whose sum is σ = 116602733520. Its totient is φ = 12813486960.

The previous prime is 42284507341. The next prime is 42284507387. The reversal of 42284507364 is 46370548224.

It is a happy number.

42284507364 is a `hidden beast` number, since 4 + 2 + 2 + 84 + 507 + 3 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (42284507341) and next prime (42284507387).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53389134 + ... + 53389925.

It is an arithmetic number, because the mean of its divisors is an integer number (3238964820).

Almost surely, 242284507364 is an apocalyptic number.

42284507364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42284507364 is an abundant number, since it is smaller than the sum of its proper divisors (74318226156).

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

42284507364 is a wasteful number, since it uses less digits than its factorization.

42284507364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106779080 (or 106779075 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42284507364 in words is "forty-two billion, two hundred eighty-four million, five hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106779059 213558118 320337177 427116236 640674354 961011531 1174569649 1281348708 1922023062 2349139298 3523708947 3844046124 4698278596 7047417894 10571126841 14094835788 21142253682 42284507364