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20253206064 = 2437313229251
BaseRepresentation
bin10010110111001011…
…110110011000110000
31221021110222110200010
4102313023312120300
5312434310043224
613145412254520
71314615261000
oct226713663060
957243873603
1020253206064
118653452533
123b12911440
131ba9ca0700
14da1b98000
157d80d4e29
hex4b72f6630

20253206064 has 480 divisors, whose sum is σ = 68620608000. Its totient is φ = 5136768000.

The previous prime is 20253206053. The next prime is 20253206081. The reversal of 20253206064 is 46060235202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80689939 + ... + 80690189.

It is an arithmetic number, because the mean of its divisors is an integer number (142959600).

Almost surely, 220253206064 is an apocalyptic number.

20253206064 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 20253206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34310304000).

20253206064 is an abundant number, since it is smaller than the sum of its proper divisors (48367401936).

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

20253206064 is a wasteful number, since it uses less digits than its factorization.

20253206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 20253206064 in words is "twenty billion, two hundred fifty-three million, two hundred six thousand, sixty-four".