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42000520608 = 2532145835141
BaseRepresentation
bin100111000111011011…
…010001010110100000
311000102002101111212100
4213013123101112200
51142004113124413
631143400530400
73014545351254
oct470733212640
9130362344770
1042000520608
11168a3220862
128181a80a00
133c6467c877
142066160264
15115c44da73
hex9c76d15a0

42000520608 has 36 divisors (see below), whose sum is σ = 119438981298. Its totient is φ = 14000173440.

The previous prime is 42000520589. The next prime is 42000520613. The reversal of 42000520608 is 80602500024.

42000520608 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 0 + 52 + 0 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27626428944 + 14374091664 = 166212^2 + 119892^2 .

It is a tau number, because it is divible by the number of its divisors (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 5 ways as a sum of consecutive naturals, for example, 72917283 + ... + 72917858.

Almost surely, 242000520608 is an apocalyptic number.

42000520608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42000520608 is an abundant number, since it is smaller than the sum of its proper divisors (77438460690).

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

42000520608 is a wasteful number, since it uses less digits than its factorization.

42000520608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145835157 (or 145835146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42000520608 in words is "forty-two billion, five hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 145835141 291670282 437505423 583340564 875010846 1166681128 1312516269 1750021692 2333362256 2625032538 3500043384 4666724512 5250065076 7000086768 10500130152 14000173536 21000260304 42000520608