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255143242341552 = 2435315484215449
BaseRepresentation
bin111010000000110100101010…
…010100111001110010110000
31020110101110022020122100022210
4322000310222110321302300
5231420231330014412202
62302351104251532120
7104512330252440165
oct7200645224716260
91213343266570283
10255143242341552
1174329706805254
122474857775a040
13ac49b9b2b01a6
144700ddaa9006c
151e76cdbb05c6c
hexe80d2a539cb0

255143242341552 has 20 divisors (see below), whose sum is σ = 659120042715800. Its totient is φ = 85047747447168.

The previous prime is 255143242341551. The next prime is 255143242341557.

255143242341552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2551432423415522 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 5315484215449 = 255143242341552 / (2 + 5 + 5 + 1 + 4 + 3 + 2 + 4 + 2 + 3 + 4 + 1 + 5 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (255143242341551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657742107677 + ... + 2657742107772.

It is an arithmetic number, because the mean of its divisors is an integer number (32956002135790).

Almost surely, 2255143242341552 is an apocalyptic number.

It is an amenable number.

255143242341552 is an abundant number, since it is smaller than the sum of its proper divisors (403976800374248).

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

255143242341552 is a wasteful number, since it uses less digits than its factorization.

255143242341552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315484215460 (or 5315484215454 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 255143242341552 in words is "two hundred fifty-five trillion, one hundred forty-three billion, two hundred forty-two million, three hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 5315484215449 10630968430898 15946452646347 21261936861796 31892905292694 42523873723592 63785810585388 85047747447184 127571621170776 255143242341552