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8854045416 = 23331011073793
BaseRepresentation
bin10000011111011111…
…00000001011101000
3211212001110002222000
420033233200023220
5121113113423131
64022324531000
7432261100326
oct101757401350
924761402860
108854045416
113833972407
121871250a60
13ab1469838
145ddca0d16
1536c49ace6
hex20fbe02e8

8854045416 has 128 divisors (see below), whose sum is σ = 25076822400. Its totient is φ = 2894054400.

The previous prime is 8854045399. The next prime is 8854045441. The reversal of 8854045416 is 6145404588.

It is a happy number.

It is a super-2 number, since 2×88540454162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2332416 + ... + 2336208.

It is an arithmetic number, because the mean of its divisors is an integer number (195912675).

Almost surely, 28854045416 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 8854045416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538411200).

8854045416 is an abundant number, since it is smaller than the sum of its proper divisors (16222776984).

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

8854045416 is a wasteful number, since it uses less digits than its factorization.

8854045416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8854045416 is about 94095.9372980577. The cubic root of 8854045416 is about 2068.7781236752.

It can be divided in two parts, 88540 and 45416, that added together give a square (133956 = 3662).

The spelling of 8854045416 in words is "eight billion, eight hundred fifty-four million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 107 108 202 214 216 303 321 404 428 606 642 808 856 909 963 1212 1284 1818 1926 2424 2568 2727 2889 3636 3793 3852 5454 5778 7272 7586 7704 10807 10908 11379 11556 15172 21614 21816 22758 23112 30344 32421 34137 43228 45516 64842 68274 86456 91032 97263 102411 129684 136548 194526 204822 259368 273096 291789 383093 389052 405851 409644 583578 766186 778104 811702 819288 1149279 1167156 1217553 1532372 1623404 2298558 2334312 2435106 3064744 3246808 3447837 3652659 4597116 4870212 6895674 7305318 9194232 9740424 10343511 10957977 13791348 14610636 20687022 21915954 27582696 29221272 40990951 41374044 43831908 81981902 82748088 87663816 122972853 163963804 245945706 327927608 368918559 491891412 737837118 983782824 1106755677 1475674236 2213511354 2951348472 4427022708 8854045416