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11014448245700 = 22521731944132749
BaseRepresentation
bin1010000001001000000001…
…0001100110101111000100
31102222222012211120121101112
42200102000101212233010
52420430042222330300
635231545003344152
72214524203223534
oct240220021465704
942888184517345
1011014448245700
113567223985839
12129a810522058
1361b872867273
142a11603b14c4
1514179ed30e35
hexa0480466bc4

11014448245700 has 72 divisors (see below), whose sum is σ = 24041481429000. Its totient is φ = 4379953305600.

The previous prime is 11014448245699. The next prime is 11014448245711. The reversal of 11014448245700 is 754284441011.

It can be written as a sum of positive squares in 12 ways, for example, as 3146905698304 + 7867542547396 = 1773952^2 + 2804914^2 .

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, 336312926 + ... + 336345674.

Almost surely, 211014448245700 is an apocalyptic number.

11014448245700 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 11014448245700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020740714500).

11014448245700 is an abundant number, since it is smaller than the sum of its proper divisors (13027033183300).

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

11014448245700 is a wasteful number, since it uses less digits than its factorization.

11014448245700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52377 (or 52370 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The spelling of 11014448245700 in words is "eleven trillion, fourteen billion, four hundred forty-eight million, two hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 19441 32749 38882 65498 77764 97205 130996 163745 194410 327490 388820 486025 654980 818725 972050 1637450 1944100 3274900 3363293 5665577 6726586 11331154 13453172 16816465 22662308 28327885 33632930 56655770 67265860 84082325 113311540 141639425 168164650 283278850 336329300 566557700 636673309 1273346618 2546693236 3183366545 6366733090 12733466180 15916832725 31833665450 63667330900 110144482457 220288964914 440577929828 550722412285 1101444824570 2202889649140 2753612061425 5507224122850 11014448245700