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164454240105153 = 32313581164602547
BaseRepresentation
bin100101011001000111111100…
…100100000011001011000001
3210120021200010202021221121100
4211121013330210003023001
5133023404240431331103
61341433122425045013
746432266243365355
oct4531077444031301
9716250122257540
10164454240105153
1148444719254029
1216540400326769
13709bc7847926b
142c878b0553465
151402c7396d5a3
hex9591fc9032c1

164454240105153 has 24 divisors (see below), whose sum is σ = 245276232005376. Its totient is φ = 106069880642400.

The previous prime is 164454240105041. The next prime is 164454240105157. The reversal of 164454240105153 is 351501042454461.

164454240105153 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 542 + 4 + 0 + 1 + 0 + 51 + 53 = 666.

It is not a de Polignac number, because 164454240105153 - 212 = 164454240101057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164454240105099 and 164454240105108.

It is not an unprimeable number, because it can be changed into a prime (164454240105157) 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, 81302175 + ... + 83300372.

It is an arithmetic number, because the mean of its divisors is an integer number (10219843000224).

Almost surely, 2164454240105153 is an apocalyptic number.

It is an amenable number.

164454240105153 is a deficient number, since it is larger than the sum of its proper divisors (80821991900223).

164454240105153 is a wasteful number, since it uses less digits than its factorization.

164454240105153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164606165 (or 164606162 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 164454240105153 in words is "one hundred sixty-four trillion, four hundred fifty-four billion, two hundred forty million, one hundred five thousand, one hundred fifty-three".

Divisors: 1 3 9 31 93 279 3581 10743 32229 111011 333033 999099 164602547 493807641 1481422923 5102678957 15308036871 45924110613 589441720807 1768325162421 5304975487263 18272693345017 54818080035051 164454240105153