Search a number
-
+
164351660026311 = 342029032839831
BaseRepresentation
bin100101010111101000011010…
…010100000110100111000111
3210112220212100202210000120000
4211113220122110012213013
5133020214144431320221
61341314035454012343
746422005230166202
oct4527503224064707
9715825322700500
10164351660026311
114840516949a56a
12165245524a70b3
1370923ab280164
142c8293c998939
15140026ce8ae26
hex957a1a5069c7

164351660026311 has 10 divisors (see below), whose sum is σ = 245512973619672. Its totient is φ = 109567773350820.

The previous prime is 164351660026273. The next prime is 164351660026343. The reversal of 164351660026311 is 113620066153461.

164351660026311 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 5 + 1 + 6 + 6 + 0 + 0 + 2 + 631 + 1 = 666.

It is not a de Polignac number, because 164351660026311 - 221 = 164351657929159 is a prime.

It is a super-2 number, since 2×1643516600263112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164351660026511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1014516419835 + ... + 1014516419996.

Almost surely, 2164351660026311 is an apocalyptic number.

164351660026311 is a deficient number, since it is larger than the sum of its proper divisors (81161313593361).

164351660026311 is an equidigital number, since it uses as much as digits as its factorization.

164351660026311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029032839843 (or 2029032839834 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 164351660026311 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, six hundred sixty million, twenty-six thousand, three hundred eleven".

Divisors: 1 3 9 27 81 2029032839831 6087098519493 18261295558479 54783886675437 164351660026311