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18090808416 = 2532373594729
BaseRepresentation
bin10000110110010010…
…111101010001100000
31201200210001021202100
4100312102331101200
5244022221332131
612151044450400
71210210222452
oct206622752140
951623037670
1018090808416
11774387613a
12360a6a9a00
131923ca6485
14c389082d2
1570d3447e6
hex4364bd460

18090808416 has 144 divisors (see below), whose sum is σ = 52994541600. Its totient is φ = 5849708544.

The previous prime is 18090808367. The next prime is 18090808423. The reversal of 18090808416 is 61480809081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3823140 + ... + 3827868.

It is an arithmetic number, because the mean of its divisors is an integer number (368017650).

Almost surely, 218090808416 is an apocalyptic number.

18090808416 is a gapful number since it is divisible by the number (16) 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 18090808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497270800).

18090808416 is an abundant number, since it is smaller than the sum of its proper divisors (34903733184).

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

18090808416 is a wasteful number, since it uses less digits than its factorization.

18090808416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18090808416 in words is "eighteen billion, ninety million, eight hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 359 444 592 666 718 888 1077 1184 1332 1436 1776 2154 2664 2872 3231 3552 4308 4729 5328 5744 6462 8616 9458 10656 11488 12924 13283 14187 17232 18916 25848 26566 28374 34464 37832 39849 42561 51696 53132 56748 75664 79698 85122 103392 106264 113496 119547 151328 159396 170244 174973 212528 226992 239094 318792 340488 349946 425056 453984 478188 524919 637584 680976 699892 956376 1049838 1275168 1361952 1399784 1574757 1697711 1912752 2099676 2799568 3149514 3395422 3825504 4199352 5093133 5599136 6299028 6790844 8398704 10186266 12598056 13581688 15279399 16797408 20372532 25196112 27163376 30558798 40745064 50392224 54326752 61117596 62815307 81490128 122235192 125630614 162980256 188445921 244470384 251261228 376891842 488940768 502522456 565337763 753783684 1005044912 1130675526 1507567368 2010089824 2261351052 3015134736 4522702104 6030269472 9045404208 18090808416