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42292063001 = 149661429409
BaseRepresentation
bin100111011000110011…
…011010101100011001
311001011101222101211202
4213120303122230121
51143103232004001
631232333403545
73025015414136
oct473063325431
9131141871752
1042292063001
1116a32848991
1282436395b5
133cacba8b66
142092b7158d
151177d3b96b
hex9d8cdab19

42292063001 has 8 divisors (see below), whose sum is σ = 42640413000. Its totient is φ = 41944573440.

The previous prime is 42292062977. The next prime is 42292063019. The reversal of 42292063001 is 10036029224.

It can be written as a sum of positive squares in 4 ways, for example, as 35093776 + 42256969225 = 5924^2 + 205565^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42292063001 - 222 = 42287868697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42292063081) 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 7 ways as a sum of consecutive naturals, for example, 116216 + ... + 313193.

It is an arithmetic number, because the mean of its divisors is an integer number (5330051625).

Almost surely, 242292063001 is an apocalyptic number.

It is an amenable number.

42292063001 is a deficient number, since it is larger than the sum of its proper divisors (348349999).

42292063001 is a wasteful number, since it uses less digits than its factorization.

42292063001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430219.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 42292063001 in words is "forty-two billion, two hundred ninety-two million, sixty-three thousand, one".

Divisors: 1 149 661 98489 429409 63981941 283839349 42292063001