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11204523232 = 257237927529
BaseRepresentation
bin10100110111101011…
…10111010011100000
31001220212021202100221
422123311313103200
5140421324220412
65051451452424
7544441606330
oct123365672340
931825252327
1011204523232
11482a730161
122208457114
131097406706
1478410d0c0
154589ddb07
hex29bd774e0

11204523232 has 96 divisors (see below), whose sum is σ = 26640230400. Its totient is φ = 4534852608.

The previous prime is 11204523229. The next prime is 11204523233. The reversal of 11204523232 is 23232540211.

It is a junction number, because it is equal to n+sod(n) for n = 11204523197 and 11204523206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11204523233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 393244 + ... + 420772.

It is an arithmetic number, because the mean of its divisors is an integer number (277502400).

Almost surely, 211204523232 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 11204523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320115200).

11204523232 is an abundant number, since it is smaller than the sum of its proper divisors (15435707168).

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

11204523232 is a wasteful number, since it uses less digits than its factorization.

11204523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 27640 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 11204523232 in words is "eleven billion, two hundred four million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 79 92 112 158 161 184 224 316 322 368 553 632 644 736 1106 1264 1288 1817 2212 2528 2576 3634 4424 5152 7268 8848 12719 14536 17696 25438 27529 29072 50876 55058 58144 101752 110116 192703 203504 220232 385406 407008 440464 633167 770812 880928 1266334 1541624 2174791 2532668 3083248 4349582 4432169 5065336 6166496 8699164 8864338 10130672 15223537 17398328 17728676 20261344 30447074 34796656 35457352 50020193 60894148 69593312 70914704 100040386 121788296 141829408 200080772 243576592 350141351 400161544 487153184 700282702 800323088 1400565404 1600646176 2801130808 5602261616 11204523232