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135768753321 = 31929216671699
BaseRepresentation
bin111111001110001110…
…0101100010010101001
3110222102221212021111020
41332130130230102221
54211023300101241
6142212111323053
712544322235105
oct1763434542251
9428387767436
10135768753321
1152640a15963
1222390820489
13ca59095a36
1467dd6c0905
1537e951db66
hex1f9c72c4a9

135768753321 has 48 divisors (see below), whose sum is σ = 197584608000. Its totient is φ = 82693469376.

The previous prime is 135768753311. The next prime is 135768753389. The reversal of 135768753321 is 123357867531.

It is not a de Polignac number, because 135768753321 - 26 = 135768753257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135768753311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79910130 + ... + 79911828.

It is an arithmetic number, because the mean of its divisors is an integer number (4116346000).

Almost surely, 2135768753321 is an apocalyptic number.

It is an amenable number.

135768753321 is a deficient number, since it is larger than the sum of its proper divisors (61815854679).

135768753321 is a wasteful number, since it uses less digits than its factorization.

135768753321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3417 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 135768753321 in words is "one hundred thirty-five billion, seven hundred sixty-eight million, seven hundred fifty-three thousand, three hundred twenty-one".

Divisors: 1 3 19 29 57 87 551 841 1653 1667 1699 2523 5001 5097 15979 31673 32281 47937 48343 49271 95019 96843 145029 147813 918517 936149 1401947 1428859 2755551 2808447 2832233 4205841 4286577 8496699 26636993 27148321 53812427 79910979 81444963 82134757 161437281 246404271 1560560383 2381907953 4681681149 7145723859 45256251107 135768753321