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11275463320 = 23511295691553
BaseRepresentation
bin10101000000001000…
…11110101010011000
31002002210202212212121
422200010132222120
5141043004311240
65102504151024
7546262566622
oct124004365230
932083685777
1011275463320
114866783530
122228168474
1310a90140b4
1478d6d7c12
1545ed5304a
hex2a011ea98

11275463320 has 128 divisors (see below), whose sum is σ = 28699272000. Its totient is φ = 3949281280.

The previous prime is 11275463281. The next prime is 11275463357. The reversal of 11275463320 is 2336457211.

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 31 ways as a sum of consecutive naturals, for example, 7259664 + ... + 7261216.

Almost surely, 211275463320 is an apocalyptic number.

11275463320 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 11275463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349636000).

11275463320 is an abundant number, since it is smaller than the sum of its proper divisors (17423808680).

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

11275463320 is a wasteful number, since it uses less digits than its factorization.

11275463320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 11275463320 in words is "eleven billion, two hundred seventy-five million, four hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 569 580 638 1138 1160 1276 1553 1595 2276 2552 2845 3106 3190 4552 5690 6212 6259 6380 7765 11380 12424 12518 12760 15530 16501 17083 22760 25036 31060 31295 33002 34166 45037 50072 62120 62590 66004 68332 82505 85415 90074 125180 132008 136664 165010 170830 180148 181511 225185 250360 330020 341660 360296 363022 450370 495407 660040 683320 726044 883657 900740 907555 990814 1452088 1767314 1801480 1815110 1981628 2477035 3534628 3630220 3963256 4418285 4954070 7069256 7260440 8836570 9720227 9908140 17673140 19440454 19816280 25626053 35346280 38880908 48601135 51252106 77761816 97202270 102504212 128130265 194404540 205008424 256260530 281886583 388809080 512521060 563773166 1025042120 1127546332 1409432915 2255092664 2818865830 5637731660 11275463320