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11234804480 = 285233591063
BaseRepresentation
bin10100111011010010…
…11000001100000000
31001222222021012102122
422131221120030000
5141002102220410
65054452503412
7545260156004
oct123551301400
931888235378
1011234804480
114845832989
12221661ab68
1310a0779703
14788152704
1545b4c0e55
hex29da58300

11234804480 has 144 divisors (see below), whose sum is σ = 28185615360. Its totient is φ = 4282527744.

The previous prime is 11234804423. The next prime is 11234804507. The reversal of 11234804480 is 8440843211.

It is a self number, because there is not a number n which added to its sum of digits gives 11234804480.

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, 10568429 + ... + 10569491.

It is an arithmetic number, because the mean of its divisors is an integer number (195733440).

Almost surely, 211234804480 is an apocalyptic number.

11234804480 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 11234804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

11234804480 is an abundant number, since it is smaller than the sum of its proper divisors (16950810880).

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

11234804480 is a wasteful number, since it uses less digits than its factorization.

11234804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 11234804480 in words is "eleven billion, two hundred thirty-four million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 359 368 460 640 718 736 920 1063 1280 1436 1472 1795 1840 2126 2872 2944 3590 3680 4252 5315 5744 5888 7180 7360 8257 8504 10630 11488 14360 14720 16514 17008 21260 22976 24449 28720 29440 33028 34016 41285 42520 45952 48898 57440 66056 68032 82570 85040 91904 97796 114880 122245 132112 136064 165140 170080 195592 229760 244490 264224 272128 330280 340160 381617 391184 459520 488980 528448 660560 680320 763234 782368 977960 1056896 1321120 1360640 1526468 1564736 1908085 1955920 2113792 2642240 3052936 3129472 3816170 3911840 5284480 6105872 6258944 7632340 7823680 8777191 10568960 12211744 15264680 15647360 17554382 24423488 30529360 31294720 35108764 43885955 48846976 61058720 70217528 87771910 97693952 122117440 140435056 175543820 244234880 280870112 351087640 488469760 561740224 702175280 1123480448 1404350560 2246960896 2808701120 5617402240 11234804480