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9917196381264 = 243229218772099
BaseRepresentation
bin1001000001010000011011…
…1101111010110001010000
31022010002000110121120221110
42100110012331322301100
52244440404233200024
633031521440053320
72042331241243164
oct220240675726120
938102013546843
109917196381264
11318394a8a8767
121142029004240
1356c25922a313
14263dcdcaaca4
15122e80772629
hex90506f7ac50

9917196381264 has 120 divisors (see below), whose sum is σ = 25757762335200. Its totient is φ = 3287975932416.

The previous prime is 9917196381223. The next prime is 9917196381283. The reversal of 9917196381264 is 4621836917199.

It is a junction number, because it is equal to n+sod(n) for n = 9917196381195 and 9917196381204.

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 23 ways as a sum of consecutive naturals, for example, 4724723287 + ... + 4724725385.

It is an arithmetic number, because the mean of its divisors is an integer number (214648019460).

Almost surely, 29917196381264 is an apocalyptic number.

It is an amenable number.

9917196381264 is an abundant number, since it is smaller than the sum of its proper divisors (15840565953936).

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

9917196381264 is a wasteful number, since it uses less digits than its factorization.

9917196381264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4210 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 66.

The spelling of 9917196381264 in words is "nine trillion, nine hundred seventeen billion, one hundred ninety-six million, three hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 1877 2099 2748 3664 3754 4198 5496 5631 6297 7508 8396 10992 11262 12594 15016 16792 22524 25188 30032 33584 45048 50376 52441 90096 100752 104882 157323 209764 314646 419528 429833 480671 629292 839056 859666 961342 1258584 1289499 1442013 1719332 1922684 2517168 2578998 2884026 3438664 3845368 3939823 5157996 5768052 6877328 7690736 7879646 10315992 11536104 11819469 15759292 20631984 23072208 23638938 31518584 47277876 63037168 94555752 98431757 110073659 189111504 196863514 220147318 295295271 330220977 393727028 440294636 590590542 660441954 787454056 880589272 902219467 1181181084 1320883908 1574908112 1761178544 1804438934 2362362168 2641767816 2706658401 3608877868 4724724336 5283535632 5413316802 7217755736 10826633604 14435511472 21653267208 43306534416 206608257943 413216515886 619824773829 826433031772 1239649547658 1652866063544 2479299095316 3305732127088 4958598190632 9917196381264