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10081663900 = 22527114330449
BaseRepresentation
bin10010110001110100…
…11111101110011100
3222000121102120221021
421120322133232130
5131121401221100
64344221013524
7504555505060
oct113072375634
928017376837
1010081663900
114303922340
121b543b42a4
13c488b0cc9
146b8d3daa0
153e013ea1a
hex258e9fb9c

10081663900 has 144 divisors (see below), whose sum is σ = 27910713600. Its totient is φ = 3069158400.

The previous prime is 10081663897. The next prime is 10081663913. The reversal of 10081663900 is 936618001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315876 + ... + 346324.

It is an arithmetic number, because the mean of its divisors is an integer number (193824400).

Almost surely, 210081663900 is an apocalyptic number.

10081663900 is a gapful number since it is divisible by the number (10) 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 10081663900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955356800).

10081663900 is an abundant number, since it is smaller than the sum of its proper divisors (17829049700).

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

10081663900 is a wasteful number, since it uses less digits than its factorization.

10081663900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30524 (or 30517 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10081663900 in words is "ten billion, eighty-one million, six hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 43 44 50 55 70 77 86 100 110 140 154 172 175 215 220 275 301 308 350 385 430 473 550 602 700 770 860 946 1075 1100 1204 1505 1540 1892 1925 2150 2365 3010 3311 3850 4300 4730 6020 6622 7525 7700 9460 11825 13244 15050 16555 23650 30100 30449 33110 47300 60898 66220 82775 121796 152245 165550 213143 304490 331100 334939 426286 608980 669878 761225 852572 1065715 1309307 1339756 1522450 1674695 2131430 2344573 2618614 3044900 3349390 4262860 4689146 5237228 5328575 6546535 6698780 8373475 9165149 9378292 10657150 11722865 13093070 14402377 16746950 18330298 21314300 23445730 26186140 28804754 32732675 33493900 36660596 45825745 46891460 57609508 58614325 65465350 72011885 91651490 100816639 117228650 130930700 144023770 183302980 201633278 229128725 234457300 288047540 360059425 403266556 458257450 504083195 720118850 916514900 1008166390 1440237700 2016332780 2520415975 5040831950 10081663900