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886930732900 = 225241222972
BaseRepresentation
bin11001110100000010011…
…00001111011101100100
310010210022201122112011201
430322001030033131210
5104012413231423100
61515241135412244
7121035653561002
oct14720114173544
93123281575151
10886930732900
11312166305003
12123a87384084
1365838c44374
1430cdb789a72
151810ee9636a
hexce8130f764

886930732900 has 81 divisors (see below), whose sum is σ = 1973586260737. Its totient is φ = 345968627200.

The previous prime is 886930732889. The next prime is 886930732903. The reversal of 886930732900 is 9237039688.

It is a happy number.

The square root of 886930732900 is 941770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 884754696996 + 2176035904 = 940614^2 + 46648^2 .

It is a super-2 number, since 2×8869307329002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (886930732903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 386124552 + ... + 386126848.

Almost surely, 2886930732900 is an apocalyptic number.

886930732900 is the 941770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886930732900

886930732900 is an abundant number, since it is smaller than the sum of its proper divisors (1086655527837).

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

886930732900 is an equidigital number, since it uses as much as digits as its factorization.

886930732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 886930732900 in words is "eight hundred eighty-six billion, nine hundred thirty million, seven hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1681 2050 2297 3362 4100 4594 6724 8405 9188 11485 16810 22970 33620 42025 45940 57425 84050 94177 114850 168100 188354 229700 376708 470885 941770 1883540 2354425 3861257 4708850 5276209 7722514 9417700 10552418 15445028 19306285 21104836 26381045 38612570 52762090 77225140 96531425 105524180 131905225 193062850 216324569 263810450 386125700 432649138 527620900 865298276 1081622845 2163245690 4326491380 5408114225 8869307329 10816228450 17738614658 21632456900 35477229316 44346536645 88693073290 177386146580 221732683225 443465366450 886930732900