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164466240435261 = 3431315661414217
BaseRepresentation
bin100101011001010011000111…
…110101101011010000111101
3210120022211010002000212210000
4211121103013311223100331
5133024103330022412021
61341442425305504513
746433202520455462
oct4531230765532075
9716284102025700
10164466240435261
1148449817110716
12165427ab1a2139
1370a013b6c80cb
142c882cc219669
151403227256b26
hex9594c7d6b43d

164466240435261 has 40 divisors (see below), whose sum is σ = 246485403114104. Its totient is φ = 109286616890880.

The previous prime is 164466240435257. The next prime is 164466240435269. The reversal of 164466240435261 is 162534042664461.

164466240435261 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 6 + 624 + 0 + 4 + 3 + 5 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1599893587161 + 162866346848100 = 1264869^2 + 12761910^2 .

It is not a de Polignac number, because 164466240435261 - 22 = 164466240435257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164466240435198 and 164466240435207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164466240435269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 396846225 + ... + 397260441.

Almost surely, 2164466240435261 is an apocalyptic number.

It is an amenable number.

164466240435261 is a deficient number, since it is larger than the sum of its proper divisors (82019162678843).

164466240435261 is a wasteful number, since it uses less digits than its factorization.

164466240435261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430203 (or 430194 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 164466240435261 in words is "one hundred sixty-four trillion, four hundred sixty-six billion, two hundred forty million, four hundred thirty-five thousand, two hundred sixty-one".

Divisors: 1 3 9 27 81 313 939 2817 8451 15661 25353 46983 140949 414217 422847 1242651 1268541 3727953 4901893 11183859 14705679 33551577 44117037 129649921 132351111 388949763 397053333 1166849289 3500547867 6487052437 10501643601 19461157311 58383471933 175150415799 525451247397 2030447412781 6091342238343 18274026715029 54822080145087 164466240435261