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20148424344 = 23321741439337
BaseRepresentation
bin10010110000111100…
…001000111010011000
31221000011211000011200
4102300330020322120
5312230444034334
613131150354200
71312203531636
oct226074107230
957004730150
1020148424344
1185aa295474
123aa37bb960
131b913745a9
14d91cc0356
157cdcd8799
hex4b0f08e98

20148424344 has 192 divisors, whose sum is σ = 60570750240. Its totient is φ = 6022840320.

The previous prime is 20148424343. The next prime is 20148424369. The reversal of 20148424344 is 44342484102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20148424299 and 20148424308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148424343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153244 + ... + 2162580.

Almost surely, 220148424344 is an apocalyptic number.

20148424344 is a gapful number since it is divisible by the number (24) 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 20148424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30285375120).

20148424344 is an abundant number, since it is smaller than the sum of its proper divisors (40422325896).

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

20148424344 is a wasteful number, since it uses less digits than its factorization.

20148424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 20148424344 in words is "twenty billion, one hundred forty-eight million, four hundred twenty-four thousand, three hundred forty-four".