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259422091540 = 22545728383161
BaseRepresentation
bin1111000110011011000…
…0101111100100010100
3220210121120102200212121
43301212300233210110
513222244023412130
6315102111425324
724512502252253
oct3614660574424
9823546380777
10259422091540
11a002500a067
124233bb25244
131b604116ba1
14c7adcdc79a
156b350bed7a
hex3c66c2f914

259422091540 has 24 divisors (see below), whose sum is σ = 545978504232. Its totient is φ = 103541767680.

The previous prime is 259422091517. The next prime is 259422091541. The reversal of 259422091540 is 45190224952.

259422091540 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 80584447876 + 178837643664 = 283874^2 + 422892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259422091541) 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, 14182441 + ... + 14200720.

It is an arithmetic number, because the mean of its divisors is an integer number (22749104343).

Almost surely, 2259422091540 is an apocalyptic number.

259422091540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259422091540 is an abundant number, since it is smaller than the sum of its proper divisors (286556412692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259422091540 is a wasteful number, since it uses less digits than its factorization.

259422091540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28383627 (or 28383625 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 259422091540 in words is "two hundred fifty-nine billion, four hundred twenty-two million, ninety-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4570 9140 28383161 56766322 113532644 141915805 283831610 567663220 12971104577 25942209154 51884418308 64855522885 129711045770 259422091540