Search a number
-
+
428341760011 = 11439293930181
BaseRepresentation
bin1100011101110110010…
…10001001000000001011
31111221121212120221202001
412032323022021000023
524004220442310021
6524435534251431
742642464612644
oct6167312110013
91457555527661
10428341760011
11155727836160
126b022956b77
13315142b8839
1416a362b66cb
15b21eb6c091
hex63bb28900b

428341760011 has 16 divisors (see below), whose sum is σ = 468521222400. Its totient is φ = 388369519200.

The previous prime is 428341759987. The next prime is 428341760017. The reversal of 428341760011 is 110067143824.

It is a cyclic number.

It is not a de Polignac number, because 428341760011 - 219 = 428341235723 is a prime.

It is a super-2 number, since 2×4283417600112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428341760017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14177341 + ... + 14207521.

It is an arithmetic number, because the mean of its divisors is an integer number (29282576400).

Almost surely, 2428341760011 is an apocalyptic number.

428341760011 is a deficient number, since it is larger than the sum of its proper divisors (40179462389).

428341760011 is a wasteful number, since it uses less digits than its factorization.

428341760011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33570.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 428341760011 in words is "four hundred twenty-eight billion, three hundred forty-one million, seven hundred sixty thousand, eleven".

Divisors: 1 11 439 2939 4829 30181 32329 331991 1290221 13249459 14192431 88701959 145744049 975721549 38940160001 428341760011