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5417533368 = 2335134632
BaseRepresentation
bin1010000101110100…
…01111111110111000
3111222120001012200000
411002322033332320
542043342031433
62253324313000
7251152162632
oct50272177670
914876035600
105417533368
112330069005
1210723a2760
136844cb960
1439570ba52
1521a930113
hex142e8ffb8

5417533368 has 144 divisors (see below), whose sum is σ = 16421834520. Its totient is φ = 1663333056.

The previous prime is 5417533339. The next prime is 5417533391. The reversal of 5417533368 is 8633357145.

5417533368 is a `hidden beast` number, since 54 + 1 + 7 + 533 + 3 + 68 = 666.

Its product of digits (907200) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11700705 + ... + 11701167.

Almost surely, 25417533368 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 5417533368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210917260).

5417533368 is an abundant number, since it is smaller than the sum of its proper divisors (11004301152).

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

5417533368 is an equidigital number, since it uses as much as digits as its factorization.

5417533368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 481 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5417533368 is about 73603.8950599763. The cubic root of 5417533368 is about 1756.3074018666.

The spelling of 5417533368 in words is "five billion, four hundred seventeen million, five hundred thirty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 463 468 486 648 702 926 936 972 1053 1389 1404 1852 1944 2106 2778 2808 3159 3704 4167 4212 5556 6019 6318 8334 8424 11112 12038 12501 12636 16668 18057 24076 25002 25272 33336 36114 37503 48152 50004 54171 72228 75006 100008 108342 112509 144456 150012 162513 214369 216684 225018 300024 325026 428738 433368 450036 487539 643107 650052 857476 900072 975078 1286214 1300104 1462617 1714952 1929321 1950156 2572428 2786797 2925234 3858642 3900312 5144856 5573594 5787963 5850468 7717284 8360391 11147188 11575926 11700936 15434568 16720782 17363889 22294376 23151852 25081173 33441564 34727778 46303704 50162346 52091667 66883128 69455556 75243519 100324692 104183334 138911112 150487038 200649384 208366668 225730557 300974076 416733336 451461114 601948152 677191671 902922228 1354383342 1805844456 2708766684 5417533368