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12192394968 = 23331317255413
BaseRepresentation
bin10110101101011100…
…10010111011011000
31011110201010211122000
423112232102323120
5144432223114333
65333501201000
7611065435005
oct132656227330
934421124560
1012192394968
11519731a886
122443260160
1311c3c883c0
148393c08ac
154b55c6713
hex2d6b92ed8

12192394968 has 128 divisors (see below), whose sum is σ = 38618596800. Its totient is φ = 3530815488.

The previous prime is 12192394961. The next prime is 12192394969. The reversal of 12192394968 is 86949329121.

12192394968 is a `hidden beast` number, since 1 + 2 + 192 + 394 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192394961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79971 + ... + 175442.

Almost surely, 212192394968 is an apocalyptic number.

12192394968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12192394968 is an abundant number, since it is smaller than the sum of its proper divisors (26426201832).

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

12192394968 is a wasteful number, since it uses less digits than its factorization.

12192394968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255458 (or 255448 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 12192394968 in words is "twelve billion, one hundred ninety-two million, three hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 255413 510826 766239 1021652 1532478 2043304 2298717 3064956 3320369 4342021 4597434 6129912 6640738 6896151 8684042 9194868 9961107 13026063 13281476 13792302 17368084 18389736 19922214 26052126 26562952 27584604 29883321 34736168 39078189 39844428 52104252 55169208 56446273 59766642 78156378 79688856 89649963 104208504 112892546 117234567 119533284 156312756 169338819 179299926 225785092 234469134 239066568 312625512 338677638 358599852 451570184 468938268 508016457 677355276 717199704 937876536 1016032914 1354710552 1524049371 2032065828 3048098742 4064131656 6096197484 12192394968