Search a number
-
+
299368745316 = 223411322692
BaseRepresentation
bin1000101101100111100…
…01001000100101100100
31001121201112002222010000
410112303301020211210
514401101344322231
6345310023101300
730425431230564
oct4266361104544
91047645088100
10299368745316
11105a63941313
124a029ba1830
13222cc10bc24
14106bd380da4
157bc206a6e6
hex45b3c48964

299368745316 has 135 divisors (see below), whose sum is σ = 792542281531. Its totient is φ = 98538806016.

The previous prime is 299368745311. The next prime is 299368745321. The reversal of 299368745316 is 613547863992.

The square root of 299368745316 is 547146.

It is a perfect power (a square), and thus also a powerful number.

299368745316 is a `hidden beast` number, since 2 + 9 + 93 + 6 + 8 + 7 + 4 + 531 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (299368745311) and next prime (299368745321).

It can be written as a sum of positive squares in 4 ways, for example, as 255560580900 + 43808164416 = 505530^2 + 209304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (299368745311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1112894830 + ... + 1112895098.

Almost surely, 2299368745316 is an apocalyptic number.

299368745316 is the 547146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299368745316

299368745316 is an abundant number, since it is smaller than the sum of its proper divisors (493173536215).

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

299368745316 is an equidigital number, since it uses as much as digits as its factorization.

299368745316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 387 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 299368745316 in words is "two hundred ninety-nine billion, three hundred sixty-eight million, seven hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 269 324 339 452 538 678 807 1017 1076 1356 1614 2034 2421 3051 3228 4068 4842 6102 7263 9153 9684 12204 12769 14526 18306 21789 25538 29052 30397 36612 38307 43578 51076 60794 72361 76614 87156 91191 114921 121588 144722 153228 182382 217083 229842 273573 289444 344763 364764 434166 459684 547146 651249 689526 820719 868332 1034289 1094292 1302498 1379052 1641438 1953747 2068578 2462157 2604996 3282876 3434861 3907494 4137156 4924314 5861241 6869722 7814988 8176793 9848628 10304583 11722482 13739444 16353586 20609166 23444964 24530379 30913749 32707172 41218332 49060758 61827498 73591137 92741247 98121516 123654996 147182274 185482494 220773411 278223741 294364548 370964988 441546822 556447482 662320233 883093644 923977609 1112894964 1324640466 1847955218 2649280932 2771932827 3695910436 5543865654 8315798481 11087731308 16631596962 24947395443 33263193924 49894790886 74842186329 99789581772 149684372658 299368745316