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8640865440 = 2532550911789
BaseRepresentation
bin10000000110000100…
…10010010010100000
3211022012022110000100
420003002102102200
5120144030143230
63545231422400
7424062100344
oct100302222240
924265273010
108640865440
1137345a8109
121811984a00
13a7924943c
145bd84b624
153588db660
hex2030924a0

8640865440 has 144 divisors (see below), whose sum is σ = 29547390600. Its totient is φ = 2299508736.

The previous prime is 8640865421. The next prime is 8640865483. The reversal of 8640865440 is 445680468.

It can be written as a sum of positive squares in 4 ways, for example, as 5866947216 + 2773918224 = 76596^2 + 52668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727066 + ... + 738854.

Almost surely, 28640865440 is an apocalyptic number.

8640865440 is a gapful number since it is divisible by the number (80) 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 8640865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773695300).

8640865440 is an abundant number, since it is smaller than the sum of its proper divisors (20906525160).

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

8640865440 is a wasteful number, since it uses less digits than its factorization.

8640865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8640865440 is about 92956.2555183889. The cubic root of 8640865440 is about 2052.0396467609.

The spelling of 8640865440 in words is "eight billion, six hundred forty million, eight hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 509 720 1018 1440 1527 2036 2545 3054 4072 4581 5090 6108 7635 8144 9162 10180 11789 12216 15270 16288 18324 20360 22905 23578 24432 30540 35367 36648 40720 45810 47156 48864 58945 61080 70734 73296 81440 91620 94312 106101 117890 122160 141468 146592 176835 183240 188624 212202 235780 244320 282936 353670 366480 377248 424404 471560 530505 565872 707340 732960 848808 943120 1061010 1131744 1414680 1697616 1886240 2122020 2829360 3395232 4244040 5658720 6000601 8488080 12001202 16976160 18001803 24002404 30003005 36003606 48004808 54005409 60006010 72007212 90009015 96009616 108010818 120012020 144014424 180018030 192019232 216021636 240024040 270027045 288028848 360036060 432043272 480048080 540054090 576057696 720072120 864086544 960096160 1080108180 1440144240 1728173088 2160216360 2880288480 4320432720 8640865440