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42164443633 = 1331594434003
BaseRepresentation
bin100111010001001100…
…100101100111110001
311000211111211122222111
4213101030211213301
51142323044144013
631211534205321
73021605600044
oct472114454761
9130744748874
1042164443633
1116977802634
128208953841
133c8c614b40
14207dc30c5b
15116ba2d73d
hex9d13259f1

42164443633 has 32 divisors (see below), whose sum is σ = 47786618880. Its totient is φ = 36934297920.

The previous prime is 42164443621. The next prime is 42164443669. The reversal of 42164443633 is 33634446124.

42164443633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42164443633 - 221 = 42162346481 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42164443603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10531210 + ... + 10535212.

It is an arithmetic number, because the mean of its divisors is an integer number (1493331840).

Almost surely, 242164443633 is an apocalyptic number.

It is an amenable number.

42164443633 is a deficient number, since it is larger than the sum of its proper divisors (5622175247).

42164443633 is a wasteful number, since it uses less digits than its factorization.

42164443633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549.

The product of its digits is 497664, while the sum is 40.

Adding to 42164443633 its reverse (33634446124), we get a palindrome (75798889757).

The spelling of 42164443633 in words is "forty-two billion, one hundred sixty-four million, four hundred forty-three thousand, six hundred thirty-three".

Divisors: 1 13 31 59 403 443 767 1829 4003 5759 13733 23777 26137 52039 124093 178529 236177 339781 810247 1613209 1773329 3070301 7321487 10533211 23053277 54973199 95179331 104626411 714651587 1360143343 3243418741 42164443633