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168117722641 = 11113139973033
BaseRepresentation
bin1001110010010010011…
…0001101111000010001
3121001221102011012000001
42130210212031320101
510223301114111031
6205122054130001
715101054031031
oct2344446157021
9531842135001
10168117722641
1165331087350
12286ba350901
1312b12cba1bb
1481cbaa38c1
15458e48d861
hex272498de11

168117722641 has 16 divisors (see below), whose sum is σ = 186355471680. Its totient is φ = 150391825920.

The previous prime is 168117722639. The next prime is 168117722671. The reversal of 168117722641 is 146227711861.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 168117722641 - 21 = 168117722639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 168117722591 and 168117722600.

It is not an unprimeable number, because it can be changed into a prime (168117722611) 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 15 ways as a sum of consecutive naturals, for example, 313740 + ... + 659293.

It is an arithmetic number, because the mean of its divisors is an integer number (11647216980).

Almost surely, 2168117722641 is an apocalyptic number.

168117722641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

168117722641 is a deficient number, since it is larger than the sum of its proper divisors (18237749039).

168117722641 is a wasteful number, since it uses less digits than its factorization.

168117722641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973296.

The product of its digits is 225792, while the sum is 46.

The spelling of 168117722641 in words is "one hundred sixty-eight billion, one hundred seventeen million, seven hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 11 113 139 1243 1529 15707 172777 973033 10703363 109952729 135251587 1209480019 1487767457 15283429331 168117722641