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135105587221256 = 23421275411456537
BaseRepresentation
bin11110101110000010111000…
…100010001001001100001000
3122201100222010200010000010022
4132232002320202021030020
5120202032220312040011
61155202352215040012
740313025254064131
oct3656027042111410
9581328120100108
10135105587221256
113a059a59877913
12131a044b970008
135a5052c85aa62
142551206a44c88
1510946167a28db
hex7ae0b8889308

135105587221256 has 32 divisors (see below), whose sum is σ = 253934087542680. Its totient is φ = 67389842419200.

The previous prime is 135105587221237. The next prime is 135105587221259. The reversal of 135105587221256 is 652122785501531.

It can be written as a sum of positive squares in 4 ways, for example, as 58929174253156 + 76176412968100 = 7676534^2 + 8727910^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135105587221198 and 135105587221207.

It is not an unprimeable number, because it can be changed into a prime (135105587221259) 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, 92029820 + ... + 93486356.

Almost surely, 2135105587221256 is an apocalyptic number.

It is an amenable number.

135105587221256 is a deficient number, since it is larger than the sum of its proper divisors (118828500321424).

135105587221256 is a wasteful number, since it uses less digits than its factorization.

135105587221256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484505 (or 1484501 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 53.

The spelling of 135105587221256 in words is "one hundred thirty-five trillion, one hundred five billion, five hundred eighty-seven million, two hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 421 842 1684 3368 27541 55082 110164 220328 1456537 2913074 5826148 11594761 11652296 23189522 46379044 92758088 613202077 1226404154 2452808308 4905616616 40114485517 80228971034 160457942068 320915884136 16888198402657 33776396805314 67552793610628 135105587221256