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17193202992 = 243378368501
BaseRepresentation
bin10000000000110010…
…110111010100110000
31122101020001012121000
4100000302313110300
5240202424443432
611522022002000
71146030546150
oct200062672460
948336035530
1017193202992
117323129979
1233b9b76300
13181003a9c4
14b91612760
156a963c57c
hex400cb7530

17193202992 has 160 divisors (see below), whose sum is σ = 57081346560. Its totient is φ = 4853088000.

The previous prime is 17193202973. The next prime is 17193202997. The reversal of 17193202992 is 29920239171.

It is not an unprimeable number, because it can be changed into a prime (17193202997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216742 + ... + 285242.

It is an arithmetic number, because the mean of its divisors is an integer number (356758416).

Almost surely, 217193202992 is an apocalyptic number.

17193202992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17193202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540673280).

17193202992 is an abundant number, since it is smaller than the sum of its proper divisors (39888143568).

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

17193202992 is a wasteful number, since it uses less digits than its factorization.

17193202992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68608 (or 68596 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 17193202992 in words is "seventeen billion, one hundred ninety-three million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1992 2241 2324 2988 3024 3486 3984 4482 4648 5229 5976 6972 8964 9296 10458 11952 13944 15687 17928 20916 27888 31374 35856 41832 62748 68501 83664 125496 137002 205503 250992 274004 411006 479507 548008 616509 822012 959014 1096016 1233018 1438521 1644024 1849527 1918028 2466036 2877042 3288048 3699054 3836056 4315563 4932072 5685583 5754084 7398108 7672112 8631126 9864144 11371166 11508168 12946689 14796216 17056749 17262252 22742332 23016336 25893378 29592432 34113498 34524504 39799081 45484664 51170247 51786756 68226996 69049008 79598162 90969328 102340494 103573512 119397243 136453992 153510741 159196324 204680988 207147024 238794486 272907984 307021482 318392648 358191729 409361976 477588972 614042964 636785296 716383458 818723952 955177944 1074575187 1228085928 1432766916 1910355888 2149150374 2456171856 2865533832 4298300748 5731067664 8596601496 17193202992