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2112343735992 = 2337137757312119
BaseRepresentation
bin11110101111010001011…
…111110111111010111000
321110221022212101221200220
4132233101133313322320
5234102034444022432
64254221453100040
7305416563335040
oct36572137677270
97427285357626
102112343735992
11744926a74496
122a1477787620
131242684aa5b9
1474349048720
1539e30c3572c
hex1ebd17f7eb8

2112343735992 has 128 divisors (see below), whose sum is σ = 6080625331200. Its totient is φ = 598992933888.

The previous prime is 2112343735963. The next prime is 2112343735993. The reversal of 2112343735992 is 2995373432112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112343735993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174294109 + ... + 174306227.

It is an arithmetic number, because the mean of its divisors is an integer number (47504885400).

Almost surely, 22112343735992 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 2112343735992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040312665600).

2112343735992 is an abundant number, since it is smaller than the sum of its proper divisors (3968281595208).

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

2112343735992 is a wasteful number, since it uses less digits than its factorization.

2112343735992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19841 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The spelling of 2112343735992 in words is "two trillion, one hundred twelve billion, three hundred forty-three million, seven hundred thirty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7573 7672 11508 12119 15146 22719 23016 24238 30292 36357 45438 48476 53011 60584 72714 84833 90876 96952 106022 145428 159033 169666 181752 212044 254499 290856 318066 339332 424088 508998 636132 678664 1017996 1037501 1272264 1660303 2035992 2075002 3112503 3320606 4150004 4980909 6225006 6641212 7262507 8300008 9961818 11622121 12450012 13282424 14525014 19923636 21787521 23244242 24900024 29050028 34866363 39847272 43575042 46488484 58100056 69732726 87150084 91777187 92976968 139465452 174300168 183554374 275331561 278930904 367108748 550663122 642440309 734217496 1101326244 1284880618 1927320927 2202652488 2569761236 3854641854 5139522472 7709283708 12573474619 15418567416 25146949238 37720423857 50293898476 75440847714 88014322333 100587796952 150881695428 176028644666 264042966999 301763390856 352057289332 528085933998 704114578664 1056171867996 2112343735992