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11260556200 = 2352234356929
BaseRepresentation
bin10100111110010111…
…00111001110101000
31002001202201112011001
422133023213032220
5141030200244300
65101212444344
7546022101625
oct123713471650
932052645131
1011260556200
1148593215a3
1222231796b4
1310a5bc4b0a
1478b73734c
1545d8ab16a
hex29f2e73a8

11260556200 has 96 divisors (see below), whose sum is σ = 27954907200. Its totient is φ = 4208117760.

The previous prime is 11260556183. The next prime is 11260556227. The reversal of 11260556200 is 265506211.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169336 + ... + 226264.

It is an arithmetic number, because the mean of its divisors is an integer number (291196950).

Almost surely, 211260556200 is an apocalyptic number.

11260556200 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 11260556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977453600).

11260556200 is an abundant number, since it is smaller than the sum of its proper divisors (16694351000).

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

11260556200 is a wasteful number, since it uses less digits than its factorization.

11260556200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57011 (or 57002 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 11260556200 in words is "eleven billion, two hundred sixty million, five hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 43 46 50 86 92 100 115 172 184 200 215 230 344 430 460 575 860 920 989 1075 1150 1720 1978 2150 2300 3956 4300 4600 4945 7912 8600 9890 19780 24725 39560 49450 56929 98900 113858 197800 227716 284645 455432 569290 1138580 1309367 1423225 2277160 2447947 2618734 2846450 4895894 5237468 5692900 6546835 9791788 10474936 11385800 12239735 13093670 19583576 24479470 26187340 32734175 48958940 52374680 56302781 61198675 65468350 97917880 112605562 122397350 130936700 225211124 244794700 261873400 281513905 450422248 489589400 563027810 1126055620 1407569525 2252111240 2815139050 5630278100 11260556200