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20199642848 = 2571143190649
BaseRepresentation
bin10010110011111111…
…100001011011100000
31221010202012011202022
4102303333201123200
5312332102032343
613140220241012
71313365063010
oct226377413340
957122164668
1020199642848
118626198710
123ab89a0168
131b9bb684b8
14d98a13c40
157d3554568
hex4b3fe16e0

20199642848 has 96 divisors (see below), whose sum is σ = 50734252800. Its totient is φ = 7686927360.

The previous prime is 20199642847. The next prime is 20199642871. The reversal of 20199642848 is 84824699102.

It is a happy number.

It is a super-2 number, since 2×201996428482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20199642848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20199642847) 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 15 ways as a sum of consecutive naturals, for example, 10628 + ... + 201276.

It is an arithmetic number, because the mean of its divisors is an integer number (528481800).

Almost surely, 220199642848 is an apocalyptic number.

20199642848 is a gapful number since it is divisible by the number (28) 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 20199642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367126400).

20199642848 is an abundant number, since it is smaller than the sum of its proper divisors (30534609952).

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

20199642848 is a wasteful number, since it uses less digits than its factorization.

20199642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190720 (or 190712 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 20199642848 in words is "twenty billion, one hundred ninety-nine million, six hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 77 86 88 112 154 172 176 224 301 308 344 352 473 602 616 688 946 1204 1232 1376 1892 2408 2464 3311 3784 4816 6622 7568 9632 13244 15136 26488 52976 105952 190649 381298 762596 1334543 1525192 2097139 2669086 3050384 4194278 5338172 6100768 8197907 8388556 10676344 14679973 16395814 16777112 21352688 29359946 32791628 33554224 42705376 57385349 58719892 65583256 67108448 90176977 114770698 117439784 131166512 180353954 229541396 234879568 262333024 360707908 459082792 469759136 631238839 721415816 918165584 1262477678 1442831632 1836331168 2524955356 2885663264 5049910712 10099821424 20199642848