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9685772040 = 2335797118873
BaseRepresentation
bin10010000010101000…
…10010011100001000
3221000000111012101210
421001110102130020
5124314024201130
64241035413120
7462010463310
oct110124223410
927000435353
109685772040
11412040298a
121a638b41a0
13bb487a579
1467c528440
153ba4dd5b0
hex241512708

9685772040 has 128 divisors (see below), whose sum is σ = 33550997760. Its totient is φ = 2191048704.

The previous prime is 9685772039. The next prime is 9685772113. The reversal of 9685772040 is 402775869.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22044 + ... + 140916.

It is an arithmetic number, because the mean of its divisors is an integer number (262117170).

Almost surely, 29685772040 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 9685772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775498880).

9685772040 is an abundant number, since it is smaller than the sum of its proper divisors (23865225720).

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

9685772040 is a wasteful number, since it uses less digits than its factorization.

9685772040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118991 (or 118987 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 9685772040 is about 98416.3199880995. The cubic root of 9685772040 is about 2131.6279912065.

The spelling of 9685772040 in words is "nine billion, six hundred eighty-five million, seven hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 679 776 840 970 1164 1358 1455 1940 2037 2328 2716 2910 3395 3880 4074 5432 5820 6790 8148 10185 11640 13580 16296 20370 27160 40740 81480 118873 237746 356619 475492 594365 713238 832111 950984 1188730 1426476 1664222 1783095 2377460 2496333 2852952 3328444 3566190 4160555 4754920 4992666 6656888 7132380 8321110 9985332 11530681 12481665 14264760 16642220 19970664 23061362 24963330 33284440 34592043 46122724 49926660 57653405 69184086 80714767 92245448 99853320 115306810 138368172 161429534 172960215 230613620 242144301 276736344 322859068 345920430 403573835 461227240 484288602 645718136 691840860 807147670 968577204 1210721505 1383681720 1614295340 1937154408 2421443010 3228590680 4842886020 9685772040