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168086221641 = 32131436634373
BaseRepresentation
bin1001110010001010111…
…0000011001101001001
3121001212012212202202100
42130202232003031021
510223220033043031
6205115011024013
715100222211262
oct2344256031511
9531765782670
10168086221641
1165315321168
12286ab89b009
1312b0960ac60
1481c7823969
15458b819de6
hex2722b83349

168086221641 has 12 divisors (see below), whose sum is σ = 261467456068. Its totient is φ = 103437674784.

The previous prime is 168086221553. The next prime is 168086221697. The reversal of 168086221641 is 146122680861.

It is a happy number.

168086221641 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 8 + 622 + 16 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59937322041 + 108148899600 = 244821^2 + 328860^2 .

It is not a de Polignac number, because 168086221641 - 221 = 168084124489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (168086221241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718317070 + ... + 718317303.

Almost surely, 2168086221641 is an apocalyptic number.

It is an amenable number.

168086221641 is a deficient number, since it is larger than the sum of its proper divisors (93381234427).

168086221641 is a wasteful number, since it uses less digits than its factorization.

168086221641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436634392 (or 1436634389 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 168086221641 in words is "one hundred sixty-eight billion, eighty-six million, two hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 117 1436634373 4309903119 12929709357 18676246849 56028740547 168086221641