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206891070541 = 17101421433661
BaseRepresentation
bin1100000010101110101…
…0110011010001001101
3201210000121001100011021
43000223222303101031
511342203103224131
6235013333354141
720642645040451
oct3005352632115
9653017040137
10206891070541
117a818685521
123411b498951
1316681ba60cc
14a0293a4661
1555ad422e11
hex302bab344d

206891070541 has 32 divisors (see below), whose sum is σ = 222603939936. Its totient is φ = 191600640000.

The previous prime is 206891070521. The next prime is 206891070553. The reversal of 206891070541 is 145070198602.

206891070541 = 3216292 + 3216302.

It can be written as a sum of positive squares in 16 ways, for example, as 27753894025 + 179137176516 = 166595^2 + 423246^2 .

It is a 7-Lehmer number, since φ(206891070541) divides (206891070541-1)7.

It is a cyclic number.

It is not a de Polignac number, because 206891070541 - 213 = 206891062349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206891070521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312996751 + ... + 312997411.

It is an arithmetic number, because the mean of its divisors is an integer number (6956373123).

Almost surely, 2206891070541 is an apocalyptic number.

206891070541 is the 321630-th centered square number.

It is an amenable number.

206891070541 is a deficient number, since it is larger than the sum of its proper divisors (15712869395).

206891070541 is a wasteful number, since it uses less digits than its factorization.

206891070541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 206891070541 in words is "two hundred six billion, eight hundred ninety-one million, seventy thousand, five hundred forty-one".

Divisors: 1 17 101 421 433 661 1717 7157 7361 11237 42521 43733 66761 182293 278281 286213 722857 743461 1134937 3098981 4730777 4865621 18411593 28106381 28907513 120495673 312997081 477808477 491427721 2048426441 12170062973 206891070541