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11055403560 = 2335235375577
BaseRepresentation
bin10100100101111010…
…00001001000101000
31001112110200200122010
422102331001020220
5140120140403220
65025003355520
7540651244155
oct122275011050
931473620563
1011055403560
11476353a363
122186522ba0
131072555416
1476c3b322c
1544a8851e0
hex292f41228

11055403560 has 128 divisors (see below), whose sum is σ = 35261671680. Its totient is φ = 2766686208.

The previous prime is 11055403553. The next prime is 11055403561. The reversal of 11055403560 is 6530455011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11055403561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108492 + ... + 184068.

It is an arithmetic number, because the mean of its divisors is an integer number (275481810).

Almost surely, 211055403560 is an apocalyptic number.

11055403560 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 11055403560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630835840).

11055403560 is an abundant number, since it is smaller than the sum of its proper divisors (24206268120).

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

11055403560 is a wasteful number, since it uses less digits than its factorization.

11055403560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75667 (or 75663 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11055403560 its reverse (6530455011), we get a palindrome (17585858571).

The spelling of 11055403560 in words is "eleven billion, fifty-five million, four hundred three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 2120 2438 2760 3180 3657 4876 6095 6360 7314 9752 12190 14628 18285 24380 29256 36570 48760 73140 75577 146280 151154 226731 302308 377885 453462 604616 755770 906924 1133655 1511540 1738271 1813848 2267310 3023080 3476542 4005581 4534620 5214813 6953084 8011162 8691355 9069240 10429626 12016743 13906168 16022324 17382710 20027905 20859252 24033486 26074065 32044648 34765420 40055810 41718504 48066972 52148130 60083715 69530840 80111620 92128363 96133944 104296260 120167430 160223240 184256726 208592520 240334860 276385089 368513452 460641815 480669720 552770178 737026904 921283630 1105540356 1381925445 1842567260 2211080712 2763850890 3685134520 5527701780 11055403560