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9950565560 = 23513531732087
BaseRepresentation
bin10010100010001100…
…11001010010111000
3221200110202002211012
421101012121102320
5130334321044220
64323215053052
7501404261135
oct112106312270
927613662735
109950565560
114246920201
121b18511188
13c2769c620
146a577558c
153d3895ac5
hex2511994b8

9950565560 has 128 divisors (see below), whose sum is σ = 24719748480. Its totient is φ = 3582179328.

The previous prime is 9950565557. The next prime is 9950565577. The reversal of 9950565560 is 655650599.

It is a super-2 number, since 2×99505655602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9950565499 and 9950565508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4766837 + ... + 4768923.

It is an arithmetic number, because the mean of its divisors is an integer number (193123035).

Almost surely, 29950565560 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 9950565560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359874240).

9950565560 is an abundant number, since it is smaller than the sum of its proper divisors (14769182920).

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

9950565560 is a wasteful number, since it uses less digits than its factorization.

9950565560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 50.

The square root of 9950565560 is about 99752.5215721387. The cubic root of 9950565560 is about 2150.8787149103.

The spelling of 9950565560 in words is "nine billion, nine hundred fifty million, five hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 173 212 260 265 346 424 520 530 689 692 865 1060 1378 1384 1730 2087 2120 2249 2756 3445 3460 4174 4498 5512 6890 6920 8348 8996 9169 10435 11245 13780 16696 17992 18338 20870 22490 27131 27560 36676 41740 44980 45845 54262 73352 83480 89960 91690 108524 110611 119197 135655 183380 217048 221222 238394 271310 361051 366760 442444 476788 542620 553055 595985 722102 884888 953576 1085240 1106110 1191970 1437943 1444204 1805255 2212220 2383940 2875886 2888408 3610510 4424440 4693663 4767880 5751772 7189715 7221020 9387326 11503544 14379430 14442040 18774652 19135703 23468315 28758860 37549304 38271406 46936630 57517720 76542812 93873260 95678515 153085624 187746520 191357030 248764139 382714060 497528278 765428120 995056556 1243820695 1990113112 2487641390 4975282780 9950565560