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11023842624 = 263197379769
BaseRepresentation
bin10100100010001001…
…00111110101000000
31001110021022020011120
422101010213311000
5140034100430444
65021515112240
7540116054604
oct122104476500
931407266146
1011023842624
114747743143
122177a42680
131068b54b02
14768119504
15447bedb19
hex291127d40

11023842624 has 112 divisors (see below), whose sum is σ = 29430878400. Its totient is φ = 3641573376.

The previous prime is 11023842601. The next prime is 11023842649. The reversal of 11023842624 is 42624832011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14334912 + ... + 14335680.

It is an arithmetic number, because the mean of its divisors is an integer number (262775700).

Almost surely, 211023842624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715439200).

11023842624 is an abundant number, since it is smaller than the sum of its proper divisors (18407035776).

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

11023842624 is a wasteful number, since it uses less digits than its factorization.

11023842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 11023842624 in words is "eleven billion, twenty-three million, eight hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 379 394 591 758 769 788 1137 1182 1516 1538 1576 2274 2307 2364 3032 3076 3152 4548 4614 4728 6064 6152 6304 9096 9228 9456 12128 12304 12608 18192 18456 18912 24256 24608 36384 36912 37824 49216 72768 73824 74663 147648 149326 151493 223989 291451 298652 302986 447978 454479 582902 597304 605972 874353 895956 908958 1165804 1194608 1211944 1748706 1791912 1817916 2331608 2389216 2423888 3497412 3583824 3635832 4663216 4778432 4847776 6994824 7167648 7271664 9326432 9695552 13989648 14335296 14543328 18652864 27979296 29086656 55958592 57415847 114831694 172247541 229663388 344495082 459326776 688990164 918653552 1377980328 1837307104 2755960656 3674614208 5511921312 11023842624