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20254400000 = 295512659
BaseRepresentation
bin10010110111010000…
…011001111000000000
31221021120020010102222
4102313100121320000
5312440111300000
613145454030212
71314631362602
oct226720317000
957246203388
1020254400000
11865409855a
123b131a8368
131baa2cac93
14da1dc9172
157d826da85
hex4b7419e00

20254400000 has 120 divisors (see below), whose sum is σ = 50587309080. Its totient is φ = 8101120000.

The previous prime is 20254399999. The next prime is 20254400003. The reversal of 20254400000 is 445202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20254400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1593671 + ... + 1606329.

It is an arithmetic number, because the mean of its divisors is an integer number (421560909).

Almost surely, 220254400000 is an apocalyptic number.

20254400000 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 20254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293654540).

20254400000 is an abundant number, since it is smaller than the sum of its proper divisors (30332909080).

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

20254400000 is an frugal number, since it uses more digits than its factorization.

20254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 20254400000 its reverse (445202), we get a palindrome (20254845202).

The spelling of 20254400000 in words is "twenty billion, two hundred fifty-four million, four hundred 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 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12659 12800 16000 20000 25000 25318 32000 40000 50000 50636 63295 64000 80000 100000 101272 126590 160000 200000 202544 253180 316475 320000 400000 405088 506360 632950 800000 810176 1012720 1265900 1582375 1600000 1620352 2025440 2531800 3164750 3240704 4050880 5063600 6329500 6481408 7911875 8101760 10127200 12659000 15823750 16203520 20254400 25318000 31647500 32407040 39559375 40508800 50636000 63295000 79118750 81017600 101272000 126590000 158237500 162035200 202544000 253180000 316475000 405088000 506360000 632950000 810176000 1012720000 1265900000 2025440000 2531800000 4050880000 5063600000 10127200000 20254400000