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164521332121641 = 31141273653444349
BaseRepresentation
bin100101011010000110011011…
…100011110010000000101001
3210120112002022111202112000220
4211122012123203302000221
5133031004142010343031
61341524020115520253
746440162660204105
oct4532063343620051
9716462274675026
10164521332121641
1148470117a14040
12165514052b9089
1370a53ab2b90c1
142c8ac36c76905
15140489db14596
hex95a19b8f2029

164521332121641 has 32 divisors (see below), whose sum is σ = 245141880278400. Its totient is φ = 97277375116800.

The previous prime is 164521332121637. The next prime is 164521332121649. The reversal of 164521332121641 is 146121233125461.

It is not a de Polignac number, because 164521332121641 - 22 = 164521332121637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164521332121593 and 164521332121602.

It is not an unprimeable number, because it can be changed into a prime (164521332121649) 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, 370030335 + ... + 370474683.

It is an arithmetic number, because the mean of its divisors is an integer number (7660683758700).

Almost surely, 2164521332121641 is an apocalyptic number.

164521332121641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164521332121641 is a deficient number, since it is larger than the sum of its proper divisors (80620548156759).

164521332121641 is a wasteful number, since it uses less digits than its factorization.

164521332121641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718057.

The product of its digits is 207360, while the sum is 42.

The spelling of 164521332121641 in words is "one hundred sixty-four trillion, five hundred twenty-one billion, three hundred thirty-two million, one hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 11 33 41 123 451 1353 273653 444349 820959 1333047 3010183 4887839 9030549 11219773 14663517 18218309 33659319 54654927 123417503 200401399 370252509 601204197 121597436897 364792310691 1337571805867 4012715417601 4985494912777 14956484738331 54840444040547 164521332121641