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42668000424 = 2333728219577
BaseRepresentation
bin100111101111001101…
…100000010010101000
311002010121101000001000
4213233031200102220
51144341002003144
631333523155000
73040232006460
oct475715402250
9132117330030
1042668000424
1117105a79275
128329515a60
13403ca43b3a
1420caa70ba0
15119ad4a769
hex9ef3604a8

42668000424 has 64 divisors (see below), whose sum is σ = 135453974400. Its totient is φ = 12190856832.

The previous prime is 42668000407. The next prime is 42668000447. The reversal of 42668000424 is 42400086624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14108277 + ... + 14111300.

It is an arithmetic number, because the mean of its divisors is an integer number (2116468350).

Almost surely, 242668000424 is an apocalyptic number.

It is an amenable number.

42668000424 is an abundant number, since it is smaller than the sum of its proper divisors (92785973976).

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

42668000424 is a wasteful number, since it uses less digits than its factorization.

42668000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28219599 (or 28219589 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42668000424 in words is "forty-two billion, six hundred sixty-eight million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 28219577 56439154 84658731 112878308 169317462 197537039 225756616 253976193 338634924 395074078 507952386 592611117 677269848 761928579 790148156 1015904772 1185222234 1523857158 1580296312 1777833351 2031809544 2370444468 3047714316 3555666702 4740888936 5333500053 6095428632 7111333404 10667000106 14222666808 21334000212 42668000424