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164842082795521 = 31671109217932843
BaseRepresentation
bin100101011110110001001001…
…110010100000000000000001
3210121122202020011202000000001
4211132301021302200000001
5133101233041143424041
61342331224000000001
746502306324020105
oct4536611162400001
9717582204660001
10164842082795521
114858415334a79a
12165a3600000001
1370c9707194a61
142c9c583c69905
15140cdc2dc1131
hex95ec49ca0001

164842082795521 has 32 divisors (see below), whose sum is σ = 172939582771200. Its totient is φ = 156925103163840.

The previous prime is 164842082795491. The next prime is 164842082795581. The reversal of 164842082795521 is 125597280248461.

It is a cyclic number.

It is not a de Polignac number, because 164842082795521 - 239 = 164292326981633 is a prime.

It is a super-2 number, since 2×1648420827955212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164842082795581) 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 31 ways as a sum of consecutive naturals, for example, 5019076926 + ... + 5019109768.

It is an arithmetic number, because the mean of its divisors is an integer number (5404361961600).

Almost surely, 2164842082795521 is an apocalyptic number.

It is an amenable number.

164842082795521 is a deficient number, since it is larger than the sum of its proper divisors (8097499975679).

164842082795521 is a wasteful number, since it uses less digits than its factorization.

164842082795521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36229.

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 164842082795521 in words is "one hundred sixty-four trillion, eight hundred forty-two billion, eighty-two million, seven hundred ninety-five thousand, five hundred twenty-one".

Divisors: 1 31 67 1109 2077 2179 32843 34379 67549 74303 145993 1018133 2200481 2303393 2416511 4525783 36422887 68214911 71564897 74911841 161906237 1129109497 2218511807 2440333429 4794848099 5019093347 75650336299 79365470773 148640291069 2460329593963 5317486541791 164842082795521