Search a number
-
+
8453228544 = 21132895153
BaseRepresentation
bin1111101111101101…
…00000100000000000
3210211010020111120200
413313312200200000
5114303011303134
63514450005200
7416323154115
oct76766404000
923733214520
108453228544
1136486997a2
12177ab76800
13a494004a7
145a296690c
153471c5499
hex1f7da0800

8453228544 has 144 divisors (see below), whose sum is σ = 24693587100. Its totient is φ = 2785542144.

The previous prime is 8453228533. The next prime is 8453228551. The reversal of 8453228544 is 4458223548.

8453228544 is a `hidden beast` number, since 84 + 5 + 3 + 2 + 28 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8370054144 + 83174400 = 91488^2 + 9120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8453228544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637872 + ... + 1643024.

Almost surely, 28453228544 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 8453228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346793550).

8453228544 is an abundant number, since it is smaller than the sum of its proper divisors (16240358556).

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

8453228544 is a wasteful number, since it uses less digits than its factorization.

8453228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5247 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 8453228544 is about 91941.4408414399. The cubic root of 8453228544 is about 2037.0774297941.

The spelling of 8453228544 in words is "eight billion, four hundred fifty-three million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2048 2136 2304 2848 3072 3204 4272 4608 5153 5696 6144 6408 8544 9216 10306 11392 12816 15459 17088 18432 20612 22784 25632 30918 34176 41224 45568 46377 51264 61836 68352 82448 91136 92754 102528 123672 136704 164896 182272 185508 205056 247344 273408 329792 371016 410112 458617 494688 546816 659584 742032 820224 917234 989376 1319168 1375851 1484064 1640448 1834468 1978752 2638336 2751702 2968128 3668936 3957504 4127553 5276672 5503404 5936256 7337872 7915008 8255106 10553344 11006808 11872512 14675744 15830016 16510212 22013616 23745024 29351488 31660032 33020424 44027232 47490048 58702976 66040848 88054464 94980096 117405952 132081696 176108928 234811904 264163392 352217856 469623808 528326784 704435712 939247616 1056653568 1408871424 2113307136 2817742848 4226614272 8453228544