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9073799680 = 2951132663
BaseRepresentation
bin10000111001101011…
…10011001000000000
3212102100221210010211
420130311303020000
5122040343042210
64100215003504
7440600011321
oct103465631000
925370853124
109073799680
113936a18000
121912969594
13b17b4c44a
14621146448
1538190838a
hex21cd73200

9073799680 has 160 divisors (see below), whose sum is σ = 23938789248. Its totient is φ = 3298324480.

The previous prime is 9073799653. The next prime is 9073799681. The reversal of 9073799680 is 869973709.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (9073799681) 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 15 ways as a sum of consecutive naturals, for example, 3406029 + ... + 3408691.

Almost surely, 29073799680 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 9073799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969394624).

9073799680 is an abundant number, since it is smaller than the sum of its proper divisors (14864989568).

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

9073799680 is an equidigital number, since it uses as much as digits as its factorization.

9073799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 58.

The square root of 9073799680 is about 95256.4941618156. The cubic root of 9073799680 is about 2085.7538908563.

The spelling of 9073799680 in words is "nine billion, seventy-three million, seven hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1210 1280 1331 1408 1760 1936 2420 2560 2662 2663 2816 3520 3872 4840 5324 5326 5632 6655 7040 7744 9680 10648 10652 13310 13315 14080 15488 19360 21296 21304 26620 26630 28160 29293 30976 38720 42592 42608 53240 53260 58586 61952 77440 85184 85216 106480 106520 117172 146465 154880 170368 170432 212960 213040 234344 292930 309760 322223 340736 340864 425920 426080 468688 585860 644446 681472 681728 851840 852160 937376 1171720 1288892 1363456 1611115 1703680 1704320 1874752 2343440 2577784 3222230 3407360 3408640 3544453 3749504 4686880 5155568 6444460 6817280 7088906 7499008 9373760 10311136 12888920 14177812 14998016 17722265 18747520 20622272 25777840 28355624 35444530 37495040 41244544 51555680 56711248 70889060 74990080 82489088 103111360 113422496 141778120 164978176 206222720 226844992 283556240 412445440 453689984 567112480 824890880 907379968 1134224960 1814759936 2268449920 4536899840 9073799680