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20353123263256 = 237292661653801
BaseRepresentation
bin1001010000010110101001…
…01011101010001100011000
32200001201222011011220202121
410220023110223222030120
510131431144023411011
6111142032403111024
74200315240154630
oct450132453521430
980051864156677
1020353123263256
116537790528293
1223486a3972474
13b483a2c63c14
1450514c8216c0
152546711cae71
hex1282d4aea318

20353123263256 has 96 divisors (see below), whose sum is σ = 45238024896480. Its totient is φ = 8409227904000.

The previous prime is 20353123263217. The next prime is 20353123263257. The reversal of 20353123263256 is 65236232135302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20353123263257) 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 23 ways as a sum of consecutive naturals, for example, 30803556 + ... + 31457356.

It is an arithmetic number, because the mean of its divisors is an integer number (471229426005).

Almost surely, 220353123263256 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 20353123263256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619012448240).

20353123263256 is an abundant number, since it is smaller than the sum of its proper divisors (24884901633224).

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

20353123263256 is a wasteful number, since it uses less digits than its factorization.

20353123263256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654533 (or 654500 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 43.

Adding to 20353123263256 its reverse (65236232135302), we get a palindrome (85589355398558).

The spelling of 20353123263256 in words is "twenty trillion, three hundred fifty-three billion, one hundred twenty-three million, two hundred sixty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 661 812 841 1322 1624 1682 2644 3364 4627 5288 5887 6728 9254 11774 18508 19169 23548 37016 38338 47096 76676 134183 153352 268366 536732 555901 653801 1073464 1111802 1307602 2223604 2615204 3891307 4447208 4576607 5230408 7782614 9153214 15565228 18306428 18960229 31130456 36612856 37920458 75840916 132721603 151681832 265443206 432162461 530886412 549846641 864324922 1061772824 1099693282 1728649844 2199386564 3025137227 3457299688 3848926487 4398773128 6050274454 7697852974 12100548908 12532711369 15395705948 24201097816 25065422738 30791411896 50130845476 87728979583 100261690952 175457959166 350915918332 363448629701 701831836664 726897259402 1453794518804 2544140407907 2907589037608 5088280815814 10176561631628 20353123263256