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42355063296 = 29367132943
BaseRepresentation
bin100111011100100011…
…101111101000000000
311001022210112011000000
4213130203233220000
51143220344011141
631242504000000
73026412045360
oct473443575000
9131283464000
1042355063296
1116a65368a47
128260760000
133cbcc66640
14209b2909a0
15117d6335b6
hex9dc8efa00

42355063296 has 1120 divisors, whose sum is σ = 165305669760. Its totient is φ = 10534551552.

The previous prime is 42355063229. The next prime is 42355063307. The reversal of 42355063296 is 69236055324.

42355063296 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 5 + 0 + 632 + 9 + 6 = 666.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 985001451 + ... + 985001493.

It is an arithmetic number, because the mean of its divisors is an integer number (147594348).

Almost surely, 242355063296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42355063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82652834880).

42355063296 is an abundant number, since it is smaller than the sum of its proper divisors (122950606464).

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

42355063296 is an equidigital number, since it uses as much as digits as its factorization.

42355063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 42355063296 in words is "forty-two billion, three hundred fifty-five million, sixty-three thousand, two hundred ninety-six".