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235424085761 = 1727974951189
BaseRepresentation
bin1101101101000001011…
…1100111011100000001
3211111200002221200201202
43123100113213130001
512324122031221021
6300052523110545
723003012465654
oct3332027473401
9744602850652
10235424085761
119092a839137
1239763072455
131927b368477
14b574a6189b
1561cd374a0b
hex36d05e7701

235424085761 has 8 divisors (see below), whose sum is σ = 249361733160. Its totient is φ = 221496346368.

The previous prime is 235424085739. The next prime is 235424085779. The reversal of 235424085761 is 167580424532.

235424085761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 160720810000 + 74703275761 = 400900^2 + 273319^2 .

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 235424085761 - 26 = 235424085697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235424085731) 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, 2428046 + ... + 2523143.

It is an arithmetic number, because the mean of its divisors is an integer number (31170216645).

Almost surely, 2235424085761 is an apocalyptic number.

It is an amenable number.

235424085761 is a deficient number, since it is larger than the sum of its proper divisors (13937647399).

235424085761 is a wasteful number, since it uses less digits than its factorization.

235424085761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954003.

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 235424085761 in words is "two hundred thirty-five billion, four hundred twenty-four million, eighty-five thousand, seven hundred sixty-one".

Divisors: 1 17 2797 47549 4951189 84170213 13848475633 235424085761