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834344473104 = 243311317091619
BaseRepresentation
bin11000010010000101100…
…11100101001000010000
32221202120220022202002000
430021002303211020100
5102132214141114404
61435143105354000
7114164556002142
oct14110263451020
92852526282060
10834344473104
112a193078176a
12115850338900
13608a84327cc
142c54d792c92
1516a83537339
hexc242ce5210

834344473104 has 80 divisors (see below), whose sum is σ = 2416071403200. Its totient is φ = 275653615104.

The previous prime is 834344473043. The next prime is 834344473141. The reversal of 834344473104 is 401374443438.

834344473104 is a `hidden beast` number, since 8 + 3 + 434 + 44 + 73 + 104 = 666.

It is a super-2 number, since 2×8343444731042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 834344473104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8496994 + ... + 8594625.

It is an arithmetic number, because the mean of its divisors is an integer number (30200892540).

Almost surely, 2834344473104 is an apocalyptic number.

It is an amenable number.

834344473104 is an abundant number, since it is smaller than the sum of its proper divisors (1581726930096).

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

834344473104 is a wasteful number, since it uses less digits than its factorization.

834344473104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091749 (or 17091737 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 834344473104 in words is "eight hundred thirty-four billion, three hundred forty-four million, four hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 17091619 34183238 51274857 68366476 102549714 136732952 153824571 205099428 273465904 307649142 410198856 461473713 615298284 820397712 922947426 1230596568 1845894852 1931352947 2461193136 3691789704 3862705894 5794058841 7383579408 7725411788 11588117682 15450823576 17382176523 23176235364 30901647152 34764353046 46352470728 52146529569 69528706092 92704941456 104293059138 139057412184 208586118276 278114824368 417172236552 834344473104