Search a number
-
+
4473009216 = 26341366373
BaseRepresentation
bin1000010101001110…
…01011010001000000
3102112201202102010000
410022213023101000
533130042243331
62015504040000
7215562644124
oct41247132100
912481672100
104473009216
111995996035
12a4a003000
13563916420
143060c1584
151b2a5b0e6
hex10a9cb440

4473009216 has 140 divisors (see below), whose sum is σ = 14279569612. Its totient is φ = 1376289792.

The previous prime is 4473009197. The next prime is 4473009221. The reversal of 4473009216 is 6129003744.

It can be written as a sum of positive squares in 2 ways, for example, as 2800526400 + 1672482816 = 52920^2 + 40896^2 .

It is a super-2 number, since 2×44730092162 = 40015622892841869312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34206 + ... + 100578.

Almost surely, 24473009216 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 4473009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139784806).

4473009216 is an abundant number, since it is smaller than the sum of its proper divisors (9806560396).

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

4473009216 is a wasteful number, since it uses less digits than its factorization.

4473009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66410 (or 66391 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4473009216 is about 66880.5593278047. The cubic root of 4473009216 is about 1647.6562028306.

It can be divided in two parts, 4473009 and 216, that added together give a square (4473225 = 21152).

The spelling of 4473009216 in words is "four billion, four hundred seventy-three million, nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 66373 67392 132746 199119 265492 398238 530984 597357 796476 862849 1061968 1194714 1592952 1725698 1792071 2123936 2389428 2588547 3185904 3451396 3584142 4247872 4778856 5177094 5376213 6371808 6902792 7168284 7765641 9557712 10354188 10752426 12743616 13805584 14336568 15531282 19115424 20708376 21504852 23296923 27611168 28673136 31062564 38230848 41416752 43009704 46593846 55222336 57346272 62125128 69890769 82833504 86019408 93187692 114692544 124250256 139781538 165667008 172038816 186375384 248500512 279563076 344077632 372750768 497001024 559126152 745501536 1118252304 1491003072 2236504608 4473009216