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20253440000 = 2115415823
BaseRepresentation
bin10010110111001100…
…101111100000000000
31221021111102100120102
4102313030233200000
5312434340040000
613145421301532
71314620254013
oct226714574000
957244370512
1020253440000
1186535a2272
123b12a048a8
131baa053031
14da1c1937a
157d812e3d5
hex4b732f800

20253440000 has 120 divisors (see below), whose sum is σ = 50608237680. Its totient is φ = 8100864000.

The previous prime is 20253439961. The next prime is 20253440003. The reversal of 20253440000 is 4435202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20253440003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1272089 + ... + 1287911.

It is an arithmetic number, because the mean of its divisors is an integer number (421735314).

Almost surely, 220253440000 is an apocalyptic number.

20253440000 is a gapful number since it is divisible by the number (20) 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 20253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304118840).

20253440000 is an abundant number, since it is smaller than the sum of its proper divisors (30354797680).

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

20253440000 is an frugal number, since it uses more digits than its factorization.

20253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15865 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 20253440000 its reverse (4435202), we get a palindrome (20257875202).

The spelling of 20253440000 in words is "twenty billion, two hundred fifty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 5000 5120 6400 8000 10000 10240 12800 15823 16000 20000 25600 31646 32000 40000 51200 63292 64000 79115 80000 126584 128000 158230 160000 253168 256000 316460 320000 395575 506336 632920 640000 791150 1012672 1265840 1280000 1582300 1977875 2025344 2531680 3164600 3955750 4050688 5063360 6329200 7911500 8101376 9889375 10126720 12658400 15823000 16202752 19778750 20253440 25316800 31646000 32405504 39557500 40506880 50633600 63292000 79115000 81013760 101267200 126584000 158230000 162027520 202534400 253168000 316460000 405068800 506336000 632920000 810137600 1012672000 1265840000 2025344000 2531680000 4050688000 5063360000 10126720000 20253440000