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20335324320 = 25335293741107
BaseRepresentation
bin10010111100000101…
…000110110010100000
31221111012111111202000
4102330011012302200
5313121320334240
613201504324000
71316633255553
oct227405066240
957435444660
1020335324320
118695840163
123b36313600
131bc0cc2cac
14daca5269a
157e0406430
hex4bc146ca0

20335324320 has 768 divisors, whose sum is σ = 78186124800. Its totient is φ = 4923555840.

The previous prime is 20335324319. The next prime is 20335324369. The reversal of 20335324320 is 2342353302.

20335324320 is a `hidden beast` number, since 2 + 0 + 335 + 3 + 2 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190049707 + ... + 190049813.

It is an arithmetic number, because the mean of its divisors is an integer number (101804850).

Almost surely, 220335324320 is an apocalyptic number.

20335324320 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 20335324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39093062400).

20335324320 is an abundant number, since it is smaller than the sum of its proper divisors (57850800480).

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

20335324320 is a wasteful number, since it uses less digits than its factorization.

20335324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 20335324320 its reverse (2342353302), we get a palindrome (22677677622).

The spelling of 20335324320 in words is "twenty billion, three hundred thirty-five million, three hundred twenty-four thousand, three hundred twenty".