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20146167003450 = 2352319374623809
BaseRepresentation
bin1001001010010101001010…
…01000001011100100111010
32122022221210000110121202010
410211022211020023210322
510120033322223102300
6110503004340150350
74146340541035035
oct445124510134472
978287700417663
1020146167003450
116467a3a078144
1223145666983b6
13b31a10714ba7
144d911892c01c
1524e0ac1cca50
hex1252a520b93a

20146167003450 has 96 divisors (see below), whose sum is σ = 51629240517120. Its totient is φ = 5193461145600.

The previous prime is 20146167003409. The next prime is 20146167003511. The reversal of 20146167003450 is 5430076164102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20146167003399 and 20146167003408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2045146 + ... + 6668954.

It is an arithmetic number, because the mean of its divisors is an integer number (537804588720).

Almost surely, 220146167003450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146167003450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814620258560).

20146167003450 is an abundant number, since it is smaller than the sum of its proper divisors (31483073513670).

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

20146167003450 is a wasteful number, since it uses less digits than its factorization.

20146167003450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624792 (or 4624787 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 20146167003450 in words is "twenty trillion, one hundred forty-six billion, one hundred sixty-seven million, three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 937 1550 1874 2325 2811 4650 4685 5622 9370 14055 23425 28110 29047 46850 58094 70275 87141 140550 145235 174282 290470 435705 726175 871410 1452350 2178525 4357050 4623809 9247618 13871427 23119045 27742854 46238090 69357135 115595225 138714270 143338079 231190450 286676158 346785675 430014237 693571350 716690395 860028474 1433380790 2150071185 3583451975 4300142370 4332509033 7166903950 8665018066 10750355925 12997527099 21500711850 21662545165 25995054198 43325090330 64987635495 108312725825 129975270990 134307780023 216625451650 268615560046 324938177475 402923340069 649876354950 671538900115 805846680138 1343077800230 2014616700345 3357694500575 4029233400690 6715389001150 10073083501725 20146167003450