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9947357680 = 2451341792953
BaseRepresentation
bin10010100001110100…
…01010000111110000
3221200020201010102211
421100322022013300
5130333010421210
64323022221504
7501335100541
oct112072120760
927606633384
109947357680
11424502a067
121b17424894
13c26b18480
146a517c4c8
153d346038a
hex250e8a1f0

9947357680 has 160 divisors (see below), whose sum is σ = 25845845760. Its totient is φ = 3536732160.

The previous prime is 9947357669. The next prime is 9947357683. The reversal of 9947357680 is 867537499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9947357683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367084 + ... + 3370036.

It is an arithmetic number, because the mean of its divisors is an integer number (161536536).

Almost surely, 29947357680 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 9947357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922922880).

9947357680 is an abundant number, since it is smaller than the sum of its proper divisors (15898488080).

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

9947357680 is a wasteful number, since it uses less digits than its factorization.

9947357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The square root of 9947357680 is about 99736.4410834876. The cubic root of 9947357680 is about 2150.6475554399.

The spelling of 9947357680 in words is "nine billion, nine hundred forty-seven million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 79 80 82 104 130 158 164 205 208 260 316 328 395 410 520 533 632 656 790 820 1027 1040 1066 1264 1580 1640 2054 2132 2665 2953 3160 3239 3280 4108 4264 5135 5330 5906 6320 6478 8216 8528 10270 10660 11812 12956 14765 16195 16432 20540 21320 23624 25912 29530 32390 38389 41080 42107 42640 47248 51824 59060 64780 76778 82160 84214 118120 121073 129560 153556 168428 191945 210535 233287 236240 242146 259120 307112 336856 383890 421070 466574 484292 605365 614224 673712 767780 842140 933148 968584 1166435 1210730 1535560 1573949 1684280 1866296 1937168 2332870 2421460 3032731 3071120 3147898 3368560 3732592 4665740 4842920 6065462 6295796 7869745 9331480 9564767 9685840 12130924 12591592 15163655 15739490 18662960 19129534 24261848 25183184 30327310 31478980 38259068 47823835 48523696 60654620 62957960 76518136 95647670 121309240 124341971 125915920 153036272 191295340 242618480 248683942 382590680 497367884 621709855 765181360 994735768 1243419710 1989471536 2486839420 4973678840 9947357680