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9041084416 = 218713379
BaseRepresentation
bin10000110101110010…
…00000000000000000
3212100002101200020101
420122321000000000
5122004004200131
64053045452144
7440021643460
oct103271000000
925302350211
109041084416
11391a5025a1
121903a11054
13b111365c0
1461aa6bba0
1537dae4c61
hex21ae40000

9041084416 has 152 divisors (see below), whose sum is σ = 22313654720. Its totient is φ = 3567255552.

The previous prime is 9041084401. The next prime is 9041084419. The reversal of 9041084416 is 6144801409.

It is a super-2 number, since 2×90410844162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9041084419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23854915 + ... + 23855293.

It is an arithmetic number, because the mean of its divisors is an integer number (146800360).

Almost surely, 29041084416 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 9041084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156827360).

9041084416 is an abundant number, since it is smaller than the sum of its proper divisors (13272570304).

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

9041084416 is an frugal number, since it uses more digits than its factorization.

9041084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9041084416 is about 95084.6171365274. The cubic root of 9041084416 is about 2083.2441682215.

The spelling of 9041084416 in words is "nine billion, forty-one million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 379 416 448 512 728 758 832 896 1024 1456 1516 1664 1792 2048 2653 2912 3032 3328 3584 4096 4927 5306 5824 6064 6656 7168 8192 9854 10612 11648 12128 13312 14336 16384 19708 21224 23296 24256 26624 28672 32768 34489 39416 42448 46592 48512 53248 57344 65536 68978 78832 84896 93184 97024 106496 114688 131072 137956 157664 169792 186368 194048 212992 229376 262144 275912 315328 339584 372736 388096 425984 458752 551824 630656 679168 745472 776192 851968 917504 1103648 1261312 1358336 1490944 1552384 1703936 1835008 2207296 2522624 2716672 2981888 3104768 3407872 4414592 5045248 5433344 5963776 6209536 8829184 10090496 10866688 11927552 12419072 17658368 20180992 21733376 23855104 24838144 35316736 40361984 43466752 49676288 70633472 80723968 86933504 99352576 141266944 161447936 173867008 282533888 322895872 347734016 565067776 645791744 695468032 1130135552 1291583488 2260271104 4520542208 9041084416