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9893078640 = 2433531314633
BaseRepresentation
bin10010011011010110…
…00110011001110000
3221112110120110121000
421031223012121300
5130230112004030
64313403002000
7500105531604
oct111553063160
927473513530
109893078640
114217426455
121b01209300
13c187c24b3
1469bc8d504
153cd7dc860
hex24dac6670

9893078640 has 160 divisors (see below), whose sum is σ = 34187365440. Its totient is φ = 2629545984.

The previous prime is 9893078623. The next prime is 9893078659. The reversal of 9893078640 is 468703989.

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, 668764 + ... + 683396.

It is an arithmetic number, because the mean of its divisors is an integer number (213671034).

Almost surely, 29893078640 is an apocalyptic number.

9893078640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9893078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093682720).

9893078640 is an abundant number, since it is smaller than the sum of its proper divisors (24294286800).

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

9893078640 is a wasteful number, since it uses less digits than its factorization.

9893078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14968 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9893078640 is about 99463.9564867596. The cubic root of 9893078640 is about 2146.7286568693.

The spelling of 9893078640 in words is "nine billion, eight hundred ninety-three million, seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 313 360 432 540 626 720 939 1080 1252 1565 1878 2160 2504 2817 3130 3756 4695 5008 5634 6260 7512 8451 9390 11268 12520 14085 14633 15024 16902 18780 22536 25040 28170 29266 33804 37560 42255 43899 45072 56340 58532 67608 73165 75120 84510 87798 112680 117064 131697 135216 146330 169020 175596 219495 225360 234128 263394 292660 338040 351192 395091 438990 526788 585320 658485 676080 702384 790182 877980 1053576 1170640 1316970 1580364 1755960 1975455 2107152 2633940 3160728 3511920 3950910 4580129 5267880 6321456 7901820 9160258 10535760 13740387 15803640 18320516 22900645 27480774 31607280 36641032 41221161 45801290 54961548 68701935 73282064 82442322 91602580 109923096 123663483 137403870 164884644 183205160 206105805 219846192 247326966 274807740 329769288 366410320 412211610 494653932 549615480 618317415 659538576 824423220 989307864 1099230960 1236634830 1648846440 1978615728 2473269660 3297692880 4946539320 9893078640