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17130424168 = 231113193125423
BaseRepresentation
bin11111111010000110…
…11000011101101000
31122012211220201020101
433331003120131220
5240040342033133
611511500235144
71144336126414
oct177503303550
948184821211
1017130424168
1172a0750250
1233a0b3bab4
131800029c80
14b8714dd44
156a3d8b37d
hex3fd0d8768

17130424168 has 128 divisors (see below), whose sum is σ = 41003827200. Its totient is φ = 6589382400.

The previous prime is 17130424163. The next prime is 17130424231. The reversal of 17130424168 is 86142403171.

It is not an unprimeable number, because it can be changed into a prime (17130424163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661105 + ... + 686527.

It is an arithmetic number, because the mean of its divisors is an integer number (320342400).

Almost surely, 217130424168 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 17130424168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501913600).

17130424168 is an abundant number, since it is smaller than the sum of its proper divisors (23873403032).

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

17130424168 is a wasteful number, since it uses less digits than its factorization.

17130424168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25503 (or 25499 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 17130424168 in words is "seventeen billion, one hundred thirty million, four hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 19 22 26 31 38 44 52 62 76 88 104 124 143 152 209 247 248 286 341 403 418 494 572 589 682 806 836 988 1144 1178 1364 1612 1672 1976 2356 2717 2728 3224 4433 4712 5434 6479 7657 8866 10868 12958 15314 17732 21736 25423 25916 30628 35464 50846 51832 61256 84227 101692 168454 203384 279653 330499 336908 483037 559306 660998 673816 788113 966074 1118612 1321996 1576226 1932148 2237224 2643992 3152452 3635489 3864296 5313407 6279481 6304904 7270978 8669243 10245469 10626814 12558962 14541956 14974147 17338486 20490938 21253628 25117924 29083912 29948294 34676972 40981876 42507256 50235848 59896588 69074291 69353944 81963752 112700159 119793176 138148582 164715617 194663911 225400318 276297164 329431234 389327822 450800636 552594328 658862468 778655644 901601272 1317724936 1557311288 2141303021 4282606042 8565212084 17130424168