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135512459264 = 211713727123
BaseRepresentation
bin111111000110100101…
…1000000100000000000
3110221210002121012010202
41332031023000200000
54210012142144024
6142130434144332
712535060620110
oct1761513004000
9427702535122
10135512459264
115251a283396
122231aa220a8
13ca17c5b550
1467b7647040
1537d1c94bae
hex1f8d2c0800

135512459264 has 96 divisors (see below), whose sum is σ = 333488151360. Its totient is φ = 53609250816.

The previous prime is 135512459221. The next prime is 135512459293. The reversal of 135512459264 is 462954215531.

135512459264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177194 + ... + 549929.

It is an arithmetic number, because the mean of its divisors is an integer number (3473834910).

Almost surely, 2135512459264 is an apocalyptic number.

135512459264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135512459264 is an abundant number, since it is smaller than the sum of its proper divisors (197975692096).

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

135512459264 is an equidigital number, since it uses as much as digits as its factorization.

135512459264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727165 (or 727145 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 47.

The spelling of 135512459264 in words is "one hundred thirty-five billion, five hundred twelve million, four hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 5824 6656 7168 11648 13312 14336 23296 26624 46592 93184 186368 727123 1454246 2908492 5089861 5816984 9452599 10179722 11633968 18905198 20359444 23267936 37810396 40718888 46535872 66168193 75620792 81437776 93071744 132336386 151241584 162875552 186143488 264672772 302483168 325751104 372286976 529345544 604966336 651502208 744573952 1058691088 1209932672 1303004416 1489147904 2117382176 2419865344 2606008832 4234764352 4839730688 5212017664 8469528704 9679461376 10424035328 16939057408 19358922752 33878114816 67756229632 135512459264