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299617089072 = 24375322973471
BaseRepresentation
bin1000101110000101001…
…00011111011000110000
31001122100211102010200220
410113002210133120300
514402103433322242
6345350414013040
730434535144060
oct4270244373060
91048324363626
10299617089072
11106081043694
124a0991a7180
132233b6c17b2
14107043493a0
157bd8c73bec
hex45c291f630

299617089072 has 160 divisors (see below), whose sum is σ = 905222062080. Its totient is φ = 83621790720.

The previous prime is 299617089029. The next prime is 299617089181. The reversal of 299617089072 is 270980716992.

It is a junction number, because it is equal to n+sod(n) for n = 299617088997 and 299617089015.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4041297 + ... + 4114767.

It is an arithmetic number, because the mean of its divisors is an integer number (5657637888).

Almost surely, 2299617089072 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 299617089072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452611031040).

299617089072 is an abundant number, since it is smaller than the sum of its proper divisors (605604973008).

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

299617089072 is a wasteful number, since it uses less digits than its factorization.

299617089072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73771 (or 73765 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 299617089072 in words is "two hundred ninety-nine billion, six hundred seventeen million, eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 229 318 336 371 424 458 636 687 742 848 916 1113 1272 1374 1484 1603 1832 2226 2544 2748 2968 3206 3664 4452 4809 5496 5936 6412 8904 9618 10992 12137 12824 17808 19236 24274 25648 36411 38472 48548 72822 73471 76944 84959 97096 145644 146942 169918 194192 220413 254877 291288 293884 339836 440826 509754 514297 582576 587768 679672 881652 1019508 1028594 1175536 1359344 1542891 1763304 2039016 2057188 3085782 3526608 3893963 4078032 4114376 6171564 7787926 8228752 11681889 12343128 15575852 16824859 23363778 24686256 27257741 31151704 33649718 46727556 50474577 54515482 62303408 67299436 81773223 93455112 100949154 109030964 117774013 134598872 163546446 186910224 201898308 218061928 235548026 269197744 327092892 353322039 403796616 436123856 471096052 654185784 706644078 807593232 891717527 942192104 1308371568 1413288156 1783435054 1884384208 2675152581 2826576312 3566870108 5350305162 5653152624 6242022689 7133740216 10700610324 12484045378 14267480432 18726068067 21401220648 24968090756 37452136134 42802441296 49936181512 74904272268 99872363024 149808544536 299617089072