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20245314240 = 2632525932711
BaseRepresentation
bin10010110110101101…
…101111101011000000
31221020221010112010100
4102312231233223000
5312430300023430
613144531202400
71314461221524
oct226655575300
957227115110
1020245314240
118649a52268
123b10146400
131ba84695a8
14da0b01d84
157d7576960
hex4b6b6fac0

20245314240 has 168 divisors, whose sum is σ = 69687996768. Its totient is φ = 5394677760.

The previous prime is 20245314239. The next prime is 20245314253. The reversal of 20245314240 is 4241354202.

20245314240 is a `hidden beast` number, since 202 + 4 + 5 + 31 + 424 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7466485 + ... + 7469195.

Almost surely, 220245314240 is an apocalyptic number.

20245314240 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 20245314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34843998384).

20245314240 is an abundant number, since it is smaller than the sum of its proper divisors (49442682528).

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

20245314240 is a wasteful number, since it uses less digits than its factorization.

20245314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20245314240 its reverse (4241354202), we get a palindrome (24486668442).

The spelling of 20245314240 in words is "twenty billion, two hundred forty-five million, three hundred fourteen thousand, two hundred forty".