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20424518144 = 29233155949
BaseRepresentation
bin10011000001011001…
…010110101000000000
31221201102100000122222
4103001121112220000
5313312134040034
613214412150212
71322065353062
oct230131265000
957642300588
1020424518144
118731120868
123b60168368
131c06621cc4
14dba82d732
157e817412e
hex4c1656a00

20424518144 has 80 divisors (see below), whose sum is σ = 43957900800. Its totient is φ = 9452974080.

The previous prime is 20424518143. The next prime is 20424518159. The reversal of 20424518144 is 44181542402.

It is not an unprimeable number, because it can be changed into a prime (20424518143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337082 + ... + 393030.

It is an arithmetic number, because the mean of its divisors is an integer number (549473760).

Almost surely, 220424518144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978950400).

20424518144 is an abundant number, since it is smaller than the sum of its proper divisors (23533382656).

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

20424518144 is an equidigital number, since it uses as much as digits as its factorization.

20424518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56021 (or 56005 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 20424518144 in words is "twenty billion, four hundred twenty-four million, five hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 368 496 512 713 736 992 1426 1472 1984 2852 2944 3968 5704 5888 7936 11408 11776 15872 22816 45632 55949 91264 111898 182528 223796 365056 447592 895184 1286827 1734419 1790368 2573654 3468838 3580736 5147308 6937676 7161472 10294616 13875352 14322944 20589232 27750704 28645888 39891637 41178464 55501408 79783274 82356928 111002816 159566548 164713856 222005632 319133096 329427712 444011264 638266192 658855424 888022528 1276532384 2553064768 5106129536 10212259072 20424518144