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162066064353204 = 2231110329993974701
BaseRepresentation
bin100100110110010111110010…
…001100100010011110110100
3210020211100211200021202122110
4210312113302030202132310
5132220242244433300304
61332404042214331020
746064613104416554
oct4466276214423664
9706740750252573
10162066064353204
1147703917301480
12162155a5059a70
136c579c21c3c4b
142c0407a04d164
1513b0a9c19d289
hex9365f23227b4

162066064353204 has 96 divisors (see below), whose sum is σ = 416675960064000. Its totient is φ = 48617894448000.

The previous prime is 162066064353181. The next prime is 162066064353209. The reversal of 162066064353204 is 402353460660261.

162066064353204 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162066064353209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38787054 + ... + 42761754.

It is an arithmetic number, because the mean of its divisors is an integer number (4340374584000).

Almost surely, 2162066064353204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162066064353204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208337980032000).

162066064353204 is an abundant number, since it is smaller than the sum of its proper divisors (254609895710796).

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

162066064353204 is a wasteful number, since it uses less digits than its factorization.

162066064353204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977821 (or 3977819 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 162066064353204 in words is "one hundred sixty-two trillion, sixty-six billion, sixty-four million, three hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 2999 3399 4532 5998 6798 8997 11996 13596 17994 32989 35988 65978 98967 131956 197934 308897 395868 617794 926691 1235588 1853382 3397867 3706764 3974701 6795734 7949402 10193601 11924103 13591468 15898804 20387202 23848206 40774404 43721711 47696412 87443422 131165133 174886844 262330266 409394203 524660532 818788406 1228182609 1637576812 2456365218 4503336233 4912730436 9006672466 11920128299 13510008699 18013344932 23840256598 27020017398 35760384897 47680513196 54040034796 71520769794 131121411289 143041539588 262242822578 393364233867 524485645156 786728467734 1227773214797 1573456935468 2455546429594 3683319644391 4911092859188 7366639288782 13505505362767 14733278577564 27011010725534 40516516088301 54022021451068 81033032176602 162066064353204