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164400473223 = 3274755521943
BaseRepresentation
bin1001100100011100001…
…0000010010010000111
3120201100100111100102200
42121013002002102013
510143143010120343
6203305144405543
714606665652130
oct2310702022207
9521310440380
10164400473223
11637a3865898
1227a414768b3
131266cb3712c
147d58112c87
154422e6b4d3
hex2647082487

164400473223 has 24 divisors (see below), whose sum is σ = 277165544448. Its totient is φ = 91944335952.

The previous prime is 164400473191. The next prime is 164400473239. The reversal of 164400473223 is 322374004461.

164400473223 is a `hidden beast` number, since 1 + 644 + 0 + 0 + 4 + 7 + 3 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 164400473223 - 25 = 164400473191 is a prime.

It is a super-3 number, since 3×1644004732233 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400473243) 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, 27758011 + ... + 27763932.

It is an arithmetic number, because the mean of its divisors is an integer number (11548564352).

Almost surely, 2164400473223 is an apocalyptic number.

164400473223 is a deficient number, since it is larger than the sum of its proper divisors (112765071225).

164400473223 is a wasteful number, since it uses less digits than its factorization.

164400473223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55522003 (or 55522000 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 164400473223 its reverse (322374004461), we get a palindrome (486774477684).

The spelling of 164400473223 in words is "one hundred sixty-four billion, four hundred million, four hundred seventy-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 55521943 166565829 388653601 499697487 1165960803 2609531321 3497882409 7828593963 18266719247 23485781889 54800157741 164400473223