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20154424000 = 26537334511
BaseRepresentation
bin10010110001010011…
…000001101011000000
31221000121002211011011
4102301103001223000
5312234013032000
613131523130304
71312305530434
oct226123015300
957017084134
1020154424000
118602713067
123aa5813994
131b92695399
14d92a029c4
157ce5c12ba
hex4b14c1ac0

20154424000 has 112 divisors (see below), whose sum is σ = 50597629056. Its totient is φ = 7951104000.

The previous prime is 20154423977. The next prime is 20154424007. The reversal of 20154424000 is 42445102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20154424007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566745 + ... + 601255.

Almost surely, 220154424000 is an apocalyptic number.

20154424000 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 20154424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25298814528).

20154424000 is an abundant number, since it is smaller than the sum of its proper divisors (30443205056).

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

20154424000 is an equidigital number, since it uses as much as digits as its factorization.

20154424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34611 (or 34591 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20154424000 its reverse (42445102), we get a palindrome (20196869102).

The spelling of 20154424000 in words is "twenty billion, one hundred fifty-four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 730 800 1000 1168 1460 1600 1825 2000 2336 2920 3650 4000 4672 5840 7300 8000 9125 11680 14600 18250 23360 29200 34511 36500 58400 69022 73000 116800 138044 146000 172555 276088 292000 345110 552176 584000 690220 862775 1104352 1380440 1725550 2208704 2519303 2760880 3451100 4313875 5038606 5521760 6902200 8627750 10077212 11043520 12596515 13804400 17255500 20154424 25193030 27608800 34511000 40308848 50386060 55217600 62982575 69022000 80617696 100772120 125965150 138044000 161235392 201544240 251930300 276088000 314912875 403088480 503860600 629825750 806176960 1007721200 1259651500 2015442400 2519303000 4030884800 5038606000 10077212000 20154424000