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1317105168 = 243611493019
BaseRepresentation
bin100111010000001…
…0110111000010000
310101210100212121220
41032200112320100
510144134331133
6334410045040
744432131521
oct11640267020
93353325556
101317105168
11616520675
12309119780
1317cb46892
14c6cd4848
157a96d5b3
hex4e816e10

1317105168 has 80 divisors (see below), whose sum is σ = 3482664000. Its totient is φ = 428797440.

The previous prime is 1317105157. The next prime is 1317105199. The reversal of 1317105168 is 8615017131.

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, 434763 + ... + 437781.

It is an arithmetic number, because the mean of its divisors is an integer number (43533300).

Almost surely, 21317105168 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 1317105168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741332000).

1317105168 is an abundant number, since it is smaller than the sum of its proper divisors (2165558832).

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

1317105168 is a wasteful number, since it uses less digits than its factorization.

1317105168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1317105168 is about 36291.9435687867. The cubic root of 1317105168 is about 1096.1588249061.

The spelling of 1317105168 in words is "one billion, three hundred seventeen million, one hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 149 183 244 298 366 447 488 596 732 894 976 1192 1464 1788 2384 2928 3019 3576 6038 7152 9057 9089 12076 18114 18178 24152 27267 36228 36356 48304 54534 72456 72712 109068 144912 145424 184159 218136 368318 436272 449831 552477 736636 899662 1104954 1349493 1473272 1799324 2209908 2698986 2946544 3598648 4419816 5397972 7197296 8839632 10795944 21591888 27439691 54879382 82319073 109758764 164638146 219517528 329276292 439035056 658552584 1317105168