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164233042466024 = 23712959226308581
BaseRepresentation
bin100101010101111001111100…
…001010000001010011101000
3210112111112012002220121211102
4211111321330022001103220
5133011243232332403044
61341143341304020532
746410305615441240
oct4525717412012350
9715445162817742
10164233042466024
1148369929a1a904
1216505569761748
13708415660676c
142c7acc90b2b20
1513ec12955c24e
hex955e7c2814e8

164233042466024 has 32 divisors (see below), whose sum is σ = 351955106726400. Its totient is φ = 70380157911360.

The previous prime is 164233042466021. The next prime is 164233042466041. The reversal of 164233042466024 is 420664240332461.

It is a happy number.

It is a super-3 number, since 3×1642330424660243 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164233042466024.

It is not an unprimeable number, because it can be changed into a prime (164233042466021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112428587 + ... + 113879994.

It is an arithmetic number, because the mean of its divisors is an integer number (10998597085200).

Almost surely, 2164233042466024 is an apocalyptic number.

164233042466024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164233042466024 is an abundant number, since it is smaller than the sum of its proper divisors (187722064260376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164233042466024 is a wasteful number, since it uses less digits than its factorization.

164233042466024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226321553 (or 226321549 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 47.

Adding to 164233042466024 its reverse (420664240332461), we get a palindrome (584897282798485).

The spelling of 164233042466024 in words is "one hundred sixty-four trillion, two hundred thirty-three billion, forty-two million, four hundred sixty-six thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 12959 25918 51836 90713 103672 181426 362852 725704 226308581 452617162 905234324 1584160067 1810468648 3168320134 6336640268 12673280536 2932732901179 5865465802358 11730931604716 20529130308253 23461863209432 41058260616506 82116521233012 164233042466024