Search a number
-
+
17042120664 = 23323471733797
BaseRepresentation
bin11111101111100101…
…00001111111011000
31121222200202102121020
433313302201333120
5234400240330124
611455023442440
71142214430662
oct176762417730
947880672536
1017042120664
117255918548
123377456420
1317b795028a
14b79525532
1569b247379
hex3f7ca1fd8

17042120664 has 128 divisors (see below), whose sum is σ = 45678090240. Its totient is φ = 5285975552.

The previous prime is 17042120663. The next prime is 17042120759. The reversal of 17042120664 is 46602124071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17042120663) 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, 4486414 + ... + 4490210.

It is an arithmetic number, because the mean of its divisors is an integer number (356860080).

Almost surely, 217042120664 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 17042120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22839045120).

17042120664 is an abundant number, since it is smaller than the sum of its proper divisors (28635969576).

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

17042120664 is a wasteful number, since it uses less digits than its factorization.

17042120664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 17042120664 in words is "seventeen billion, forty-two million, one hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 173 184 188 276 282 346 376 519 552 564 692 1038 1081 1128 1384 2076 2162 3243 3797 3979 4152 4324 6486 7594 7958 8131 8648 11391 11937 12972 15188 15916 16262 22782 23874 24393 25944 30376 31832 32524 45564 47748 48786 65048 87331 91128 95496 97572 174662 178459 187013 195144 261993 349324 356918 374026 523986 535377 561039 656881 698648 713836 748052 1047972 1070754 1122078 1313762 1427672 1496104 1970643 2095944 2141508 2244156 2627524 3941286 4104557 4283016 4488312 5255048 7882572 8209114 12313671 15108263 15765144 16418228 24627342 30216526 30873407 32836456 45324789 49254684 60433052 61746814 90649578 92620221 98509368 120866104 123493628 181299156 185240442 246987256 362598312 370480884 710088361 740961768 1420176722 2130265083 2840353444 4260530166 5680706888 8521060332 17042120664