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9855071040 = 263516636173
BaseRepresentation
bin10010010110110100…
…00111001101000000
3221102211001110222010
421023122013031000
5130140344233130
64305524212520
7466134502353
oct111332071500
927384043863
109855071040
1141a7a26811
121ab053a140
13c109757a9
14696bd829a
153ca2d10b0
hex24b687340

9855071040 has 112 divisors (see below), whose sum is σ = 31313737728. Its totient is φ = 2626013184.

The previous prime is 9855070963. The next prime is 9855071047. The reversal of 9855071040 is 401705589.

It is a self number, because there is not a number n which added to its sum of digits gives 9855071040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855071047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593394 + ... + 1599566.

It is an arithmetic number, because the mean of its divisors is an integer number (279586944).

Almost surely, 29855071040 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 9855071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656868864).

9855071040 is an abundant number, since it is smaller than the sum of its proper divisors (21458666688).

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

9855071040 is a wasteful number, since it uses less digits than its factorization.

9855071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 9855071040 is about 99272.7104495490. The cubic root of 9855071040 is about 2143.9760012536.

The spelling of 9855071040 in words is "nine billion, eight hundred fifty-five million, seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1663 3326 4989 6173 6652 8315 9978 12346 13304 16630 18519 19956 24692 24945 26608 30865 33260 37038 39912 49384 49890 53216 61730 66520 74076 79824 92595 98768 99780 106432 123460 133040 148152 159648 185190 197536 199560 246920 266080 296304 319296 370380 395072 399120 493840 532160 592608 740760 798240 987680 1185216 1481520 1596480 1975360 2963040 5926080 10265699 20531398 30797097 41062796 51328495 61594194 82125592 102656990 123188388 153985485 164251184 205313980 246376776 307970970 328502368 410627960 492753552 615941940 657004736 821255920 985507104 1231883880 1642511840 1971014208 2463767760 3285023680 4927535520 9855071040