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9949457340 = 2233583221987
BaseRepresentation
bin10010100010000100…
…01010101110111100
3221200101122210122000
421101002022232330
5130334030113330
64323135222300
7501361664154
oct112102125674
927611583560
109949457340
114246233619
121b18077990
13c273a2084
146a5567764
153d3727560
hex25108abbc

9949457340 has 96 divisors (see below), whose sum is σ = 31326946560. Its totient is φ = 2621210688.

The previous prime is 9949457333. The next prime is 9949457359. The reversal of 9949457340 is 437549499.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 66174 + ... + 155813.

It is an arithmetic number, because the mean of its divisors is an integer number (326322360).

Almost surely, 29949457340 is an apocalyptic number.

9949457340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9949457340 is an abundant number, since it is smaller than the sum of its proper divisors (21377489220).

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

9949457340 is a wasteful number, since it uses less digits than its factorization.

9949457340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222088 (or 222080 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9949457340 is about 99746.9665704176. The cubic root of 9949457340 is about 2150.7988623200.

The spelling of 9949457340 in words is "nine billion, nine hundred forty-nine million, four hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 44820 221987 443974 665961 887948 1109935 1331922 1997883 2219870 2663844 3329805 3995766 4439740 5993649 6659610 7991532 9989415 11987298 13319220 18424921 19978830 23974596 29968245 36849842 39957660 55274763 59936490 73699684 92124605 110549526 119872980 165824289 184249210 221099052 276373815 331648578 368498420 497472867 552747630 663297156 829121445 994945734 1105495260 1658242890 1989891468 2487364335 3316485780 4974728670 9949457340