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19299145824 = 2532717563117
BaseRepresentation
bin10001111110010100…
…011001100001100000
31211210222202012001200
4101332110121201200
5304011040131244
612511011401200
71252152014160
oct217624314140
954728665050
1019299145824
1182039569a2
1238a72b3200
131a8742981a
14d111a85a0
1577e47a669
hex47e519860

19299145824 has 144 divisors (see below), whose sum is σ = 66411884448. Its totient is φ = 5189677056.

The previous prime is 19299145771. The next prime is 19299145829. The reversal of 19299145824 is 42854199291.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19299145829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247287 + ... + 315830.

It is an arithmetic number, because the mean of its divisors is an integer number (461193642).

Almost surely, 219299145824 is an apocalyptic number.

19299145824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19299145824 is an abundant number, since it is smaller than the sum of its proper divisors (47112738624).

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

19299145824 is a wasteful number, since it uses less digits than its factorization.

19299145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563157 (or 563146 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 19299145824 in words is "nineteen billion, two hundred ninety-nine million, one hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 563117 1126234 1689351 2252468 3378702 3941819 4504936 5068053 6757404 7883638 9009872 9572989 10136106 11825457 13514808 15767276 18019744 19145978 20272212 23650914 27029616 28718967 31534552 35476371 38291956 40544424 47301828 54059232 57437934 63069104 67010923 70952742 76583912 81088848 86156901 94603656 114875868 126138208 134021846 141905484 153167824 162177696 172313802 189207312 201032769 229751736 268043692 283810968 306335648 344627604 378414624 402065538 459503472 536087384 567621936 603098307 689255208 804131076 919006944 1072174768 1135243872 1206196614 1378510416 1608262152 2144349536 2412393228 2757020832 3216524304 4824786456 6433048608 9649572912 19299145824