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20053354464 = 253311131011607
BaseRepresentation
bin10010101011010001…
…011110011111100000
31220202112220221211000
4102223101132133200
5312032124320324
613113512552000
71306640462163
oct225321363740
956675827730
1020053354464
118560661020
123a779b2600
131b77768b20
14d83413ada
157c57a99c9
hex4ab45e7e0

20053354464 has 384 divisors, whose sum is σ = 69437813760. Its totient is φ = 5550336000.

The previous prime is 20053354457. The next prime is 20053354481. The reversal of 20053354464 is 46445335002.

20053354464 is a `hidden beast` number, since 2 + 0 + 0 + 53 + 3 + 544 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12477949 + ... + 12479555.

It is an arithmetic number, because the mean of its divisors is an integer number (180827640).

Almost surely, 220053354464 is an apocalyptic number.

20053354464 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 20053354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34718906880).

20053354464 is an abundant number, since it is smaller than the sum of its proper divisors (49384459296).

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

20053354464 is a wasteful number, since it uses less digits than its factorization.

20053354464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 20053354464 its reverse (46445335002), we get a palindrome (66498689466).

The spelling of 20053354464 in words is "twenty billion, fifty-three million, three hundred fifty-four thousand, four hundred sixty-four".