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2453773142656 = 27119371859911
BaseRepresentation
bin100011101101010000010…
…001101100101010000000
322200120121200001220021001
4203231100101230222000
5310200311411031111
65115125310141344
7342164533401523
oct43552021545200
98616550056231
102453773142656
11866703a73150
123376837b1854
1314a50b565104
1486a98522bba
1543c6562e1c1
hex23b5046ca80

2453773142656 has 64 divisors (see below), whose sum is σ = 5338468215360. Its totient is φ = 1114160486400.

The previous prime is 2453773142621. The next prime is 2453773142741. The reversal of 2453773142656 is 6562413773542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2453773142597 and 2453773142606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389341 + ... + 2249251.

It is an arithmetic number, because the mean of its divisors is an integer number (83413565865).

Almost surely, 22453773142656 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 2453773142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669234107680).

2453773142656 is an abundant number, since it is smaller than the sum of its proper divisors (2884695072704).

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

2453773142656 is a wasteful number, since it uses less digits than its factorization.

2453773142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860873 (or 1860861 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 55.

The spelling of 2453773142656 in words is "two trillion, four hundred fifty-three billion, seven hundred seventy-three million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 937 1408 1874 3748 7496 10307 14992 20614 29984 41228 59968 82456 119936 164912 329824 659648 1319296 1859911 3719822 7439644 14879288 20459021 29758576 40918042 59517152 81836084 119034304 163672168 238068608 327344336 654688672 1309377344 1742736607 2618754688 3485473214 6970946428 13941892856 19170102677 27883785712 38340205354 55767571424 76680410708 111535142848 153360821416 223070285696 306721642832 613443285664 1226886571328 2453773142656