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432133530061 = 2991331631573
BaseRepresentation
bin1100100100111010010…
…10100110000111001101
31112022102010110211101211
412102131022212013031
524040002140430221
6530304105134421
743135446254062
oct6223512460715
91468363424354
10432133530061
111572a3126112
126b90078a411
1331999a30c5c
1416cb5b04c69
15b3929ae6e1
hex649d2a61cd

432133530061 has 8 divisors (see below), whose sum is σ = 447083907480. Its totient is φ = 417186434112.

The previous prime is 432133530053. The next prime is 432133530079. The reversal of 432133530061 is 160035331234.

It can be written as a sum of positive squares in 4 ways, for example, as 147777967561 + 284355562500 = 384419^2 + 533250^2 .

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 432133530061 - 23 = 432133530053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432133530461) 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, 550930 + ... + 1080643.

It is an arithmetic number, because the mean of its divisors is an integer number (55885488435).

Almost surely, 2432133530061 is an apocalyptic number.

It is an amenable number.

432133530061 is a deficient number, since it is larger than the sum of its proper divisors (14950377419).

432133530061 is a wasteful number, since it uses less digits than its factorization.

432133530061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640735.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 432133530061 its reverse (160035331234), we get a palindrome (592168861295).

It can be divided in two parts, 4321335 and 30061, that added together give a square (4351396 = 20862).

The spelling of 432133530061 in words is "four hundred thirty-two billion, one hundred thirty-three million, five hundred thirty thousand, sixty-one".

Divisors: 1 29 9133 264857 1631573 47315617 14901156209 432133530061