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11300298492640 = 2551571399321553
BaseRepresentation
bin1010010001110000111001…
…0001110000101011100000
31111000022001020020200222111
42210130032101300223200
52440121002403231030
640011141354245104
72244263634226633
oct244341621605340
944008036220874
1011300298492640
11366747a9a0143
1213260a7126794
1363c7c9043611
142b0d1a1b7c1a
15148e3017a62a
hexa470e470ae0

11300298492640 has 96 divisors (see below), whose sum is σ = 26886287534400. Its totient is φ = 4488104484864.

The previous prime is 11300298492619. The next prime is 11300298492689. The reversal of 11300298492640 is 4629489200311.

It is a happy number.

It is a super-2 number, since 2×113002984926402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34982104 + ... + 35303656.

It is an arithmetic number, because the mean of its divisors is an integer number (280065495150).

Almost surely, 211300298492640 is an apocalyptic number.

11300298492640 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 11300298492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443143767200).

11300298492640 is an abundant number, since it is smaller than the sum of its proper divisors (15585989041760).

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

11300298492640 is a wasteful number, since it uses less digits than its factorization.

11300298492640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323124 (or 323116 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 11300298492640 in words is "eleven trillion, three hundred billion, two hundred ninety-eight million, four hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1399 1570 2512 2798 3140 5024 5596 6280 6995 11192 12560 13990 22384 25120 27980 44768 55960 111920 219643 223840 321553 439286 643106 878572 1098215 1286212 1607765 1757144 2196430 2572424 3215530 3514288 4392860 5144848 6431060 7028576 8785720 10289696 12862120 17571440 25724240 35142880 50483821 51448480 100967642 201935284 252419105 403870568 449852647 504838210 807741136 899705294 1009676420 1615482272 1799410588 2019352840 2249263235 3598821176 4038705680 4498526470 7197642352 8077411360 8997052940 14395284704 17994105880 35988211760 70626865579 71976423520 141253731158 282507462316 353134327895 565014924632 706268655790 1130029849264 1412537311580 2260059698528 2825074623160 5650149246320 11300298492640