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20345900000 = 2555203459
BaseRepresentation
bin10010111100101101…
…011100101111100000
31221111221101210211212
4102330231130233200
5313132022300000
613202523125252
71320122203466
oct227455345740
957457353755
1020345900000
1186a0803898
123b39973828
131bc32568aa
14db0206836
157e12e4c35
hex4bcb5cbe0

20345900000 has 72 divisors (see below), whose sum is σ = 50067029880. Its totient is φ = 8138320000.

The previous prime is 20345899991. The next prime is 20345900021. The reversal of 20345900000 is 954302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1730 + ... + 201729.

It is an arithmetic number, because the mean of its divisors is an integer number (695375415).

Almost surely, 220345900000 is an apocalyptic number.

20345900000 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 20345900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25033514940).

20345900000 is an abundant number, since it is smaller than the sum of its proper divisors (29721129880).

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

20345900000 is an frugal number, since it uses more digits than its factorization.

20345900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203494 (or 203466 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 20345900000 in words is "twenty billion, three hundred forty-five million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 203459 406918 813836 1017295 1627672 2034590 3255344 4069180 5086475 6510688 8138360 10172950 16276720 20345900 25432375 32553440 40691800 50864750 81383600 101729500 127161875 162767200 203459000 254323750 406918000 508647500 635809375 813836000 1017295000 1271618750 2034590000 2543237500 4069180000 5086475000 10172950000 20345900000