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20008216944 = 243483918401
BaseRepresentation
bin10010101000100101…
…010010100101110000
31220122101222201210000
4102220211102211300
5311434100420234
613105221310000
71305552016002
oct225045224560
956571881700
1020008216944
118538131591
123a64865300
131b6b2c3a31
14d7b424372
157c1840899
hex4a8952970

20008216944 has 100 divisors (see below), whose sum is σ = 57981757680. Its totient is φ = 6661094400.

The previous prime is 20008216919. The next prime is 20008216957. The reversal of 20008216944 is 44961280002.

It is a super-3 number, since 3×200082169443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20008216899 and 20008216908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078144 + ... + 1096544.

Almost surely, 220008216944 is an apocalyptic number.

20008216944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20008216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28990878840).

20008216944 is an abundant number, since it is smaller than the sum of its proper divisors (37973540736).

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

20008216944 is a wasteful number, since it uses less digits than its factorization.

20008216944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19260 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 20008216944 its reverse (44961280002), we get a palindrome (64969496946).

The spelling of 20008216944 in words is "twenty billion, eight million, two hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 839 1296 1678 2517 3356 5034 6712 7551 10068 13424 15102 18401 20136 22653 30204 36802 40272 45306 55203 60408 67959 73604 90612 110406 120816 135918 147208 165609 181224 220812 271836 294416 331218 362448 441624 496827 543672 662436 883248 993654 1087344 1324872 1490481 1987308 2649744 2980962 3974616 5961924 7949232 11923848 15438439 23847696 30876878 46315317 61753756 92630634 123507512 138945951 185261268 247015024 277891902 370522536 416837853 555783804 741045072 833675706 1111567608 1250513559 1667351412 2223135216 2501027118 3334702824 5002054236 6669405648 10004108472 20008216944