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9989509440 = 263531335669
BaseRepresentation
bin10010100110110101…
…11101000101000000
3221210012000122210010
421103122331011000
5130424303300230
64331125504520
7502356300141
oct112332750500
927705018703
109989509440
1142668aa329
121b29572140
13c32786541
146aa9d1ac8
153d6ed99b0
hex2536bd140

9989509440 has 112 divisors (see below), whose sum is σ = 32739909120. Its totient is φ = 2577930240.

The previous prime is 9989509373. The next prime is 9989509459. The reversal of 9989509440 is 449059899.

It is a super-2 number, since 2×99895094402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138075 + ... + 197594.

Almost surely, 29989509440 is an apocalyptic number.

It is an amenable number.

9989509440 is an abundant number, since it is smaller than the sum of its proper divisors (22750399680).

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

9989509440 is a wasteful number, since it uses less digits than its factorization.

9989509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335720 (or 335710 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 9989509440 is about 99947.5334362985. The cubic root of 9989509440 is about 2153.6810522216.

The spelling of 9989509440 in words is "nine billion, nine hundred eighty-nine million, five hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 335669 671338 1007007 1342676 1678345 2014014 2685352 3356690 4028028 5035035 5370704 6713380 8056056 10070070 10405739 10741408 13426760 16112112 20140140 20811478 21482816 26853520 31217217 32224224 40280280 41622956 52028695 53707040 62434434 64448448 80560560 83245912 104057390 107414080 124868868 156086085 161121120 166491824 208114780 249737736 312172170 322242240 332983648 416229560 499475472 624344340 665967296 832459120 998950944 1248688680 1664918240 1997901888 2497377360 3329836480 4994754720 9989509440