Search a number
-
+
164250405302064 = 2434783877181093
BaseRepresentation
bin100101010110001010000111…
…000011111110111100110000
3210112120012000011011002012220
4211112022013003332330300
5133012034312224131224
61341155332225521040
746411462106220414
oct4526120703767460
9715505004132186
10164250405302064
1148376229880584
12165089b44a3180
137085992828743
142c7ba95040d44
1513ec7e3a06279
hex9562870fef30

164250405302064 has 80 divisors (see below), whose sum is σ = 438562477204992. Its totient is φ = 52939633264384.

The previous prime is 164250405302033. The next prime is 164250405302069. The reversal of 164250405302064 is 460203504052461.

It is a happy number.

164250405302064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164250405302069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438403299 + ... + 438777794.

Almost surely, 2164250405302064 is an apocalyptic number.

It is an amenable number.

164250405302064 is an abundant number, since it is smaller than the sum of its proper divisors (274312071902928).

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

164250405302064 is a wasteful number, since it uses less digits than its factorization.

164250405302064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877181234 (or 877181228 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 164250405302064 in words is "one hundred sixty-four trillion, two hundred fifty billion, four hundred five million, three hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1992 2256 3901 3984 7802 11703 15604 23406 31208 46812 62416 93624 187248 877181093 1754362186 2631543279 3508724372 5263086558 7017448744 10526173116 14034897488 21052346232 41227511371 42104692464 72806030719 82455022742 123682534113 145612061438 164910045484 218418092157 247365068226 291224122876 329820090968 436836184314 494730136452 582448245752 659640181936 873672368628 989460272904 1164896491504 1747344737256 1978920545808 3421883443793 3494689474512 6843766887586 10265650331379 13687533775172 20531300662758 27375067550344 41062601325516 54750135100688 82125202651032 164250405302064