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1284065114772 = 2231140923784269
BaseRepresentation
bin10010101011111000001…
…111101011101010010100
311112202101201001102002210
4102223320033223222110
5132014231132133042
62421520311433420
7161525221250136
oct22537017535224
94482351042083
101284065114772
11455629311060
12188a3a985870
139411898c27b
1446213127056
1523604ee2a9c
hex12af83eba94

1284065114772 has 48 divisors (see below), whose sum is σ = 3276521035200. Its totient is φ = 388159253760.

The previous prime is 1284065114771. The next prime is 1284065114777. The reversal of 1284065114772 is 2774115604821.

It is a super-2 number, since 2×12840651147722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284065114771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11838147 + ... + 11946122.

It is an arithmetic number, because the mean of its divisors is an integer number (68260854900).

Almost surely, 21284065114772 is an apocalyptic number.

1284065114772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1284065114772 is an abundant number, since it is smaller than the sum of its proper divisors (1992455920428).

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

1284065114772 is a wasteful number, since it uses less digits than its factorization.

1284065114772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784696 (or 23784694 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 1284065114772 in words is "one trillion, two hundred eighty-four billion, sixty-five million, one hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 409 818 1227 1636 2454 4499 4908 8998 13497 17996 26994 53988 23784269 47568538 71352807 95137076 142705614 261626959 285411228 523253918 784880877 1046507836 1569761754 3139523508 9727766021 19455532042 29183298063 38911064084 58366596126 107005426231 116733192252 214010852462 321016278693 428021704924 642032557386 1284065114772