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164345461605153 = 345700473559279
BaseRepresentation
bin100101010111100010101000…
…110111000000001100100001
3210112220021100210100121020000
4211113202220313000030201
5133020114001132331103
61341311132432210213
746421365513400403
oct4527425067001441
9715807323317200
10164345461605153
1148402578664a54
1216523302699969
13709193106092a
142c82511698b73
151400008c0baa3
hex9578a8dc0321

164345461605153 has 20 divisors (see below), whose sum is σ = 245504213898240. Its totient is φ = 109563418086552.

The previous prime is 164345461605151. The next prime is 164345461605167. The reversal of 164345461605153 is 351506164543461.

164345461605153 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 5 + 4 + 61 + 60 + 515 + 3 = 666.

It is not a de Polignac number, because 164345461605153 - 21 = 164345461605151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164345461605153.

It is not an unprimeable number, because it can be changed into a prime (164345461605151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44394168 + ... + 47953446.

It is an arithmetic number, because the mean of its divisors is an integer number (12275210694912).

Almost surely, 2164345461605153 is an apocalyptic number.

It is an amenable number.

164345461605153 is a deficient number, since it is larger than the sum of its proper divisors (81158752293087).

164345461605153 is an equidigital number, since it uses as much as digits as its factorization.

164345461605153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129338 (or 4129329 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 164345461605153 in words is "one hundred sixty-four trillion, three hundred forty-five billion, four hundred sixty-one million, six hundred five thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 570047 1710141 3559279 5130423 10677837 15391269 32033511 46173807 96100533 288301599 2028956316113 6086868948339 18260606845017 54781820535051 164345461605153