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135680671802745 = 3253015126040061
BaseRepresentation
bin11110110110011010011110…
…001111101110010101111001
3122210101221112022012122210100
4132312122132033232111321
5120240443003440141440
61200322501245310013
740402414350265056
oct3666323617562571
9583357468178710
10135680671802745
113a260939054743
12132739a6565309
135a9282b657574
142570d9dc7c02d
1510a45740a9230
hex7b669e3ee579

135680671802745 has 12 divisors (see below), whose sum is σ = 235179831124836. Its totient is φ = 72363024961440.

The previous prime is 135680671802737. The next prime is 135680671802759. The reversal of 135680671802745 is 547208176086531.

It is a happy number.

135680671802745 is a `hidden beast` number, since 1 + 3 + 56 + 80 + 67 + 180 + 274 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91634460162921 + 44046211639824 = 9572589^2 + 6636732^2 .

It is not a de Polignac number, because 135680671802745 - 23 = 135680671802737 is a prime.

It is a super-3 number, since 3×1356806718027453 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507563019986 + ... + 1507563020075.

It is an arithmetic number, because the mean of its divisors is an integer number (19598319260403).

Almost surely, 2135680671802745 is an apocalyptic number.

135680671802745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135680671802745 is a deficient number, since it is larger than the sum of its proper divisors (99499159322091).

135680671802745 is a wasteful number, since it uses less digits than its factorization.

135680671802745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015126040072 (or 3015126040069 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 135680671802745 in words is "one hundred thirty-five trillion, six hundred eighty billion, six hundred seventy-one million, eight hundred two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 3015126040061 9045378120183 15075630200305 27136134360549 45226890600915 135680671802745