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164425066325 = 52131729760193
BaseRepresentation
bin1001100100100001111…
…1110110011101010101
3120201102001202210211022
42121020133312131111
510143220304110300
6203311423450525
714610415001132
oct2311037663525
9521361683738
10164425066325
1163806732a73
1227a49756a45
1312674c68070
147d5b4b5589
1544251c8285
hex26487f6755

164425066325 has 24 divisors (see below), whose sum is σ = 232486635528. Its totient is φ = 114279137280.

The previous prime is 164425066319. The next prime is 164425066327. The reversal of 164425066325 is 523660524461.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 89081953156 + 75343113169 = 298466^2 + 274487^2 .

It is a de Polignac number, because none of the positive numbers 2k-164425066325 is a prime.

It is a super-3 number, since 3×1644250663253 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164425066327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14874572 + ... + 14885621.

It is an arithmetic number, because the mean of its divisors is an integer number (9686943147).

Almost surely, 2164425066325 is an apocalyptic number.

It is an amenable number.

164425066325 is a deficient number, since it is larger than the sum of its proper divisors (68061569203).

164425066325 is a wasteful number, since it uses less digits than its factorization.

164425066325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29760233 (or 29760228 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 164425066325 in words is "one hundred sixty-four billion, four hundred twenty-five million, sixty-six thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 29760193 148800965 386882509 505923281 744004825 1934412545 2529616405 6577002653 9672062725 12648082025 32885013265 164425066325